Long Division Problem: Divide 3412 by 2 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:04 Let's start by dividing the leftmost digit in the dividend

00:07 Write the result without remainder above

00:10 Now multiply the result by the divisor

00:14 Subtract the product from the digit

00:20 Now bring down the next digit and use the same steps

00:24 Divide

00:29 Write the result above, pay attention to the position

00:34 Multiply the result, subtract

00:42 Now bring down the next digit and use the same steps

00:46 Divide

00:49 Write the result without remainder above, pay attention to the position

00:54 Multiply the result, subtract

01:02 Now bring down the next digit and use the same steps

01:06 Divide

01:10 Write the result above, pay attention to the position

01:14 Multiply the result, subtract

01:20 We got a remainder of 0

01:23 And this is the solution to the question

Step-by-Step Solution

To solve the division $3412 \div 2$ , we will use long division:

Step 1: Start with the leftmost digit. Divide 3 by 2, which goes 1 time. Write 1 above the division bar. Multiply 1 by 2, subtract from 3 to get a remainder of 1.
Step 2: Bring down the next digit (4) to get 14. Divide 14 by 2, which is 7. Write 7 above the division bar. Multiply 7 by 2, subtract from 14 to get 0.
Step 3: Bring down the next digit (1) to get 1. Divide 1 by 2, which goes 0 times. Write 0 above the division bar.
Step 4: Bring down the final digit (2) to get 12. Divide 12 by 2, which is 6. Write 6 above the division bar. Multiply 6 by 2, which equals 12. Subtract from 12 to get 0.
Since all digits have been brought down and divided with a remainder of 0, the quotient is the complete result of the division.

Therefore, the final quotient is $\mathbf{1706}$ .