Long Division Method without Regrouping and without Remainder

We will discuss here how to solve step-by-step the long division method without regrouping and without remainder.

Consider the following examples:

A. Dividing a 2-Digits Number by 1-Digit Number Without Regrouping and Without Remainder:

1. Divide 93 by 3

Dividing a 2-Digits Number by 1-Digit Number

Step I.

First, arrange the number and divide 9 tens by 3.

We know that 3 × 3 = 9

So, we write 3 in tens place in the quotient.

Step II.

Write 9 (product of 3 and 3) in tens place below the dividend and subtract.

9 tens - 9 tens = 0

Now, 3 ones are left, we bring down 3 ones.

As, 3 × 1 = 3.

So, we write 1 in ones place in the quotient and 3 below the dividend in ones place.

Step III.

Subtract ones.

3 - 3 = 0,

We get 0 as the remainder.

Therefore, 93 ÷ 3 = 31


B. Dividing a 3-Digits Number by 1-Digit Number Without Regrouping and Without Remainder:

1. 848 ÷ 4

Let us follow the division along with the given steps.

Long Division Method

Step I: Begin with hundreds digit

8 hundreds ÷ 4 = 2 hundreds

Step II: Bring down tens digit

4 tens ÷ 4 = 1 ten

Step III: Bring down ones digit

8 ones ÷ 4 = 2 ones

Therefore, 848 ÷ 4 = 212


2. 6482 ÷ 2

Let us follow the division along with the given steps.

Division Method without Regrouping

Step I: Begin with thousands digit

6 thousands ÷ 2 = 3 thousands

Step II: Bring down hundreds digit then

4 hundreds ÷ 2 = 2 hundreds

Step III: Bring down tens digit

8 tens ÷ 2 = 4 tens

Step IV: Bring down ones digit

2 ones ÷ 2 = 1 ones

Therefore 6482 ÷ 2 = 3241


3. Divide 684 by 2.

Solution:

Dividing a 3-Digits Number by 1-Digit Number Without Regrouping

Step I: Arrange the numbers in proper columns.

Step II: Divide 6 hundreds by 2. (2 × 3 = 6)

Write 3 in hundreds place in the quotient.

Subtract the hundreds: 6 - 6 = 0

Step III: Divide 8 tens by 2. (2 × 4 = 8)

Write 4 in tens place in the quotient.

Subtract the tens 8 - 8 = 0

Step IV: Divide 4 ones by 2. (2 × 2 = 4)

Write 2 in ones place in the quotient.

Subtract the ones: 4 - 4 = 0

Therefore, 684 ÷ 2 = 342


Check:

342 × 2 = 684

So, the answer is correct.



3rd Grade Math Worksheets

3rd Grade Math Lessons

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