Solve One Digit Division

Before beginning to learn one digit division, we shall become familiar with the different parts of division.

Dividend – The number that have to be divided.

Divisor – The number that the dividend, is being divide by. 

Quotient – The result of the division.

Remainder – The number we are left with after the division.

Let’s consider some examples of division by 1 digit number or divisor and find out the quotient and the remainder.

Set up each part of the division

Example: Divide 17 ÷ 3.

We solve a digit division problem. We want to divide 17 books among 3 students. 

1. The divisor is 3 because it’s the number that we are going to divide the 17 books in 3 students.

2. The dividend will be 17 because it’s the number that we want to divide.

3. The quotient will be the number of books that each student will get.

4. The remainder will be the number of books that are left over.

Solve the problem, step by step.

Step 1: Set up the division problem with the  division bracket or the division symbol.
Put the dividend 17, on inside of the bracket.

Put the divisor 3, on outside of the bracket.

Step 2: Now we start division, with the first number of the dividend that is 1, dividing by divisor 3.

Step 3: If the first number of dividend is smaller than the first number of divisor, then we will need to use another number of the dividend

. In this example, the first number of the dividend is 1, but it is smaller than the divisor 3, so we have to use another number of dividend that is 7.

 Step 4: Now we can begin dividing 17/3. 

Step 5: The next step of our division problem is to find number that we can multiply the divisor, that gives us same numbers as the dividend. If one does not exist, we will have to find the closest possible number that is still smaller than the dividend. 
Let’s check the number, 3 x 6 = 18, but 18 > 17.So consider 5 and check, 3 x 5 = 15, 15 < 17.We have to use closest smaller number. In this case, 15 is the closest to 17.

Step 6 : Write 15 under 17, draw a line under the 15 and subtract the bottom number (15) from the top number (17). 
Write 5 in the quotient and subtract 15, from 17 we have 17 – 15 = 2. Write 2 as remainder.

Answer of this single division, is quotient is 5 and remainder is 2.

Example: Divide 20 ÷ 3 = ? 

Let’s check the number, 3 x 7 = 21, but 21 > 20.
So consider 5 and check, 3 x 6 = 18, 18 < 20.
We have to use closest smaller number. In this case, 18 is the closest to 20.

Write 18 under 20, draw a line under the 18 and subtract the bottom number (18) from the top number (). 

Write 6 in the quotient and subtract 18, from 20 we have 20 – 18 = 2. Write 2 as remainder.

Answer of this single division, is quotient is 6 and remainder is 2.   

Example:  Divide 76 ÷ 2 = ?

Step 1: 7 ÷ 2 = 3, with remainder 1

7 can only be divided by 2, (3) times.

Step 2: Combine 1 with the 6 value, from the ones column to make 16.

Step 3: 16 ÷ 2 = 8 

Step 4: 16 can be divided by 2, eight (8) times. 
2 x 8 = 16

Step 5. 16 – 16 = 0, 

Step 6. Put the two values together, to get the answer is 38.

Note: In above problem we notice a difference between multiplication and division. We solve multiplication problems, from right to left.

We started multiplying the ones, then the tens, and move our way up the numbers.