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Division Tables

Introduction

The division is one of the four fundamental mathematical operations, along with addition, subtraction, and multiplication. The division is the process of dividing a larger group into smaller groups so that each group contains an equal number of items. It is a mathematical operation used for equal distribution and equal grouping.

In this article, we will explore the parts of a division table, its operation, and some division table examples.

What are Division Tables?

A chart made up of lists of divisions is called a division table. Division tables are helpful for teaching and helping children improve their division skills in math lessons. Because they provide the answer to a specific equation, division tables resemble tables for operations like addition or multiplication. 

Division tables frequently display the divisions of 0 to 10. We can also discover tables with divisions ranging from 0 to 12. 

A typical division table is shown below. Let us say for the 2-division table, 2 is the divisor. The number at the left of the division symbol ( ÷ ) is the dividend. The answer, after the equal sign, is the quotient.

Divided by 2

2÷ 2=1
4÷ 2=2
6÷ 2=3
8÷ 2=4
10÷ 2=5
12÷ 2=6
14÷ 2=7
16÷ 2=8
18÷ 2=9
20÷ 2=10
22÷ 2=11
24÷ 2=12

Dividend. The number that must be divided.
Divisor. The number that will divide the dividend.
Quotient. The result of dividing.
Division Symbol ( ÷ ). A small horizontal line with a dot above and below it serves as the mathematical sign for the division.

Division Tables in Words

Reading a division table is the same as how we read the times multiplication table except for the operation involved. The table below shows an example of how we write and read the 5-division table.

How we write
5 – division table
How we read
5 – division table
  5 ÷ 5 = 1Five divided by five is equal to 1
10 ÷ 5 = 2Ten divided by five is equal to 2
15 ÷ 5 = 3Fifteen divided by five is equal to 3
20 ÷ 5 = 3Twenty divided by five is equal to 4
25 ÷ 5 = 5Twenty-five divided by five is equal to 5
30 ÷ 5 = 6Thirty divided by five is equal to 6
35 ÷ 5 = 7Thirty-five divided by five is equal to 7
40 ÷ 5 = 8Forty divided by five is equal to 8
45 ÷ 5 = 9Forty-five divided by five is equal to 9
50 ÷ 5 = 10Fifty divided by five is equal to 10
55 ÷ 5 = 11Fifty-five divided by five is equal to 11
60 ÷ 5 = 12Sixty divided by five is equal to 12
65 ÷ 5 = 13Sixty-five divided by five is equal to 13
70 ÷ 5 = 14Seventy divided by five is equal to 14
75 ÷ 5 = 15Seventy-five divided by five is equal to 15

How do division tables work?

The fact that division tables provide the answer to a specific equation makes them similar to tables for operations like addition or multiplication. Let us look at the division tables below and their patterns.

Divided by 3

3÷ 3=1
6÷ 3=2
9÷ 3=3
12÷ 3=4
15÷ 3=5
18÷ 3=6
21÷ 3=7
24÷ 3=8
27÷ 3=9
30÷ 3=10
33÷ 3=11
36÷ 3=12

Looking at the table, we may notice that the pattern in the division table shows that the numbers are divided by 3. The dividend increases by three, or they are multiples of 3. Every quotient in the division table increases by 1. Also, each divisor or the number the dividend is being divided by stays the same. 

Divided by 5

5÷ 5=1
10÷ 5=2
15÷ 5=3
20÷ 5=4
25÷ 5=5
30÷ 5=6
35÷ 5=7
40÷ 5=8
45÷ 5=9
50÷ 5=10
55÷ 5=11
60÷ 5=12

The pattern in the 5-division table suggests that the numbers are divided by five. The dividend grows by five or is multiples of five. Every quotient or division answer goes up by 1. Additionally, each divisor or the number by which the dividend is split remains constant.

Divided by 7

7÷ 7=1
14÷ 7=2
21÷ 7=3
28÷ 7=4
35÷ 7=5
42÷ 7=6
49÷ 7=7
56÷ 7=8
63÷ 7=9
70÷ 7=10
77÷ 7=11
84÷ 7=12

The 7-division table’s pattern indicates that the numbers are divided by seven. The dividend increases by seven. Each answer to a division or the quotient increases by 1. In addition, the dividend is divided by the same number

Division Tables 1 – 20

Division tables are helpful for teaching and helping children improve their division skills in math lessons. The following are the division tables from 1 – 20.

Division Tables 1 – 4

            Divided by 1                  Divided by 2                  Divided by 3                  Divided by 4

1÷ 1=12÷ 2=13÷ 3=14÷ 4=1
2÷ 1=24÷ 2=26÷ 3=28÷ 4=2
3÷ 1=36÷ 2=39÷ 3=312÷ 4=3
4÷ 1=48÷ 2=412÷ 3=416÷ 4=4
5÷ 1=510÷ 2=515÷ 3=520÷ 4=5
6÷ 1=612÷ 2=618÷ 3=624÷ 4=6
7÷ 1=714÷ 2=721÷ 3=728÷ 4=7
8÷ 1=816÷ 2=824÷ 3=832÷ 4=8
9÷ 1=918÷ 2=927÷ 3=936÷ 4=9
10÷ 1=1020÷ 2=1030÷ 3=1040÷ 4=10
11÷ 1=1122÷ 2=1133÷ 3=1144÷ 4=11
12÷ 1=1224÷ 2=1236÷ 3=1248÷ 4=12

The divisor in the division table for one is one. The dividend goes up by one.

Two is used as the divisor in the 2-division table. The dividend grows by two.

The divisor in the table of three divisions is 3, and the dividend increases by three.

The divisor in the division table for four is four. The dividend grows by four.

Division Tables 5 – 8 

            Divided by 5                  Divided by 6                  Divided by 7                  Divided by 8

5÷ 5=16÷ 6=17÷ 7=18÷ 8=1
10÷ 5=212÷ 6=214÷ 7=216÷ 8=2
15÷ 5=318÷ 6=321÷ 7=324÷ 8=3
20÷ 5=424÷ 6=428÷ 7=432÷ 8=4
25÷ 5=530÷ 6=535÷ 7=540÷ 8=5
30÷ 5=636÷ 6=642÷ 7=648÷ 8=6
35÷ 5=742÷ 6=749÷ 7=756÷ 8=7
40÷ 5=848÷ 6=856÷ 7=864÷ 8=8
45÷ 5=954÷ 6=963÷ 7=972÷ 8=9
50÷ 5=1060÷ 6=1070÷ 7=1080÷ 8=10
55÷ 5=1166÷ 6=1177÷ 7=1188÷ 8=11
60÷ 5=1272÷ 6=1284÷ 7=1296÷ 8=12

The divisor in the division table for five is five, and the dividend goes up by five.

Six is used as the divisor in the 6-division table, and the dividend grows by six.

The divisor in the table of seven divisions is seven, and the dividend increases by seven.

The divisor in the division table for eight is eight, and the dividend increases by eight.

Division Tables 9 – 12 

         Divided by 9                  Divided by 10                  Divided by 11                  Divided by 12

9÷ 9=110÷ 10=111÷ 11=112÷ 12=1
18÷ 9=220÷ 10=222÷ 11=224÷ 12=2
27÷ 9=330÷ 10=333÷ 11=336÷ 12=3
36÷ 9=440÷ 10=444÷ 11=448÷ 12=4
45÷ 9=550÷ 10=555÷ 11=560÷ 12=5
54÷ 9=660÷ 10=666÷ 11=672÷ 12=6
63÷ 9=770÷ 10=777÷ 11=784÷ 12=7
72÷ 9=880÷ 10=888÷ 11=896÷ 12=8
81÷ 9=990÷ 10=999÷ 11=9108÷ 12=9
90÷ 9=10100÷ 10=10110÷ 11=10120÷ 12=10
99÷ 9=11110÷ 10=11121÷ 11=11132÷ 12=11
108÷ 9=12120÷ 10=12132÷ 11=12144÷ 12=12

The divisor in the division table for nine is nine, and the dividend goes up by nine.

Ten is used as the divisor in the 10-division table, and the dividend grows by ten.

The divisor in the table of eleven divisions is 11, and the dividend increases by eleven.

The divisor in the division table for twelve is twelve, and the dividend increases by twelve.

Division Tables 13 – 16

         Divided by 13                  Divided by 14                  Divided by 15                  Divided by 16

13÷ 13=114÷ 14=115÷ 15=116÷ 16=1
26÷ 13=228÷ 14=230÷ 15=232÷ 16=2
39÷ 13=342÷ 14=345÷ 15=348÷ 16=3
52÷ 13=456÷ 14=460÷ 15=464÷ 16=4
65÷ 13=570÷ 14=575÷ 15=580÷ 16=5
78÷ 13=684÷ 14=690÷ 15=696÷ 16=6
91÷ 13=798÷ 14=7105÷ 15=7112÷ 16=7
104÷ 13=8112÷ 14=8120÷ 15=8128÷ 16=8
117÷ 13=9126÷ 14=9135÷ 15=9144÷ 16=9
130÷ 13=10140÷ 14=10150÷ 15=10160÷ 16=10
143÷ 13=11154÷ 14=11165÷ 15=11176÷ 16=11
156÷ 13=12168÷ 14=12180÷ 15=12192÷ 16=12

The divisor in the division table for thirteen is thirteen, and the dividend goes up by thirteen.

14 is the divisor in the 14-division table, and the dividend grows by fourteen.

The divisor in the table of fifteen divisions is 15, and the dividend increases by fifteen.

The divisor in the division table for sixteen is sixteen, and the dividend increases by sixteen.

Division Tables 17 – 20 

         Divided by 17                  Divided by 18                  Divided by 19                  Divided by 20

17÷ 17=118÷ 18=119÷ 19=120÷ 20=1
34÷ 17=236÷ 18=238÷ 19=240÷ 20=2
51÷ 17=354÷ 18=357÷ 19=360÷ 20=3
68÷ 17=472÷ 18=476÷ 19=480÷ 20=4
85÷ 17=590÷ 18=595÷ 19=5100÷ 20=5
102÷ 17=6108÷ 18=6114÷ 19=6120÷ 20=6
119÷ 17=7126÷ 18=7133÷ 19=7140÷ 20=7
136÷ 17=8144÷ 18=8152÷ 19=8160÷ 20=8
153÷ 17=9162÷ 18=9171÷ 19=9180÷ 20=9
170÷ 17=10180÷ 18=10190÷ 19=10200÷ 20=10
187÷ 17=11198÷ 18=11209÷ 19=11220÷ 20=11
204÷ 17=12216÷ 18=12228÷ 19=12240÷ 20=12

The divisor in the division table for seventeen is seventeen, and the dividend goes up by seventeen.

18 is the divisor in the 18-division table, and the dividend grows by eighteen.

The divisor in the table of nineteen divisions is 19, and the dividend increases by nineteen.

The divisor in the division table for twenty is twenty, and the dividend increases by twenty.

Summary

A chart made up of lists of divisions is called a division table. Division tables are helpful for teaching and helping children improve their division skills in math lessons. 

Division tables frequently display the divisions of 0 to 10. We can also discover tables with divisions ranging from 0 to 12. 

The fact that division tables provide the answer to a specific equation makes them similar to tables for operations like addition or multiplication. 

Here are examples of division tables 1 – 4. 

            Divided by 1                  Divided by 2                  Divided by 3                  Divided by 4

1÷ 1=12÷ 2=13÷ 3=14÷ 4=1
2÷ 1=24÷ 2=26÷ 3=28÷ 4=2
3÷ 1=36÷ 2=39÷ 3=312÷ 4=3
4÷ 1=48÷ 2=412÷ 3=416÷ 4=4
5÷ 1=510÷ 2=515÷ 3=520÷ 4=5
6÷ 1=612÷ 2=618÷ 3=624÷ 4=6
7÷ 1=714÷ 2=721÷ 3=728÷ 4=7
8÷ 1=816÷ 2=824÷ 3=832÷ 4=8
9÷ 1=918÷ 2=927÷ 3=936÷ 4=9
10÷ 1=1020÷ 2=1030÷ 3=1040÷ 4=10
11÷ 1=1122÷ 2=1133÷ 3=1144÷ 4=11
12÷ 1=1224÷ 2=1236÷ 3=1248÷ 4=12

Frequently Asked Questions on Division Tables (FAQs)

What is division?

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of items. 

The division is the inverse operation of the process of multiplication. For example, 12 ÷ 4 = 3. In multiplication, this can be written as 4 × 3 = 12.

What is a division table?

A chart made up of lists of divisions is called a division table. This table is typically used to assist children with memorizing and comprehending the process of dividing and its result.

What are the parts of division?

The division process uses the division symbol (÷), a small horizontal line with a dot above and below as the mathematical sign for the division.

The division’s four parts are dividend, divisor, quotient, and remainder.

Dividend. The number that must be divided.
Divisor. A number that will divide the dividend.
Quotient. The result of dividing.
Remainder. The value that is left out or remaining but not included in any group

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