Divide 34211 by 3: Step-by-Step Long Division Problem

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the dividend

00:07 Write the result above

00:10 Now multiply the result by the divisor

00:13 Subtract the product from the number

00:16 Now bring down the next digit and use the same steps

00:19 Divide

00:22 Write the result without remainder above, paying attention to position

00:25 Multiply the result and subtract

00:30 Now bring down the next digit and use the same steps

00:33 Divide

00:37 Write the result without remainder above, paying attention to position

00:41 Multiply the result and subtract

00:44 Now bring down the next digit and use the same steps

00:48 Divide

00:51 Write the result without remainder above, paying attention to position

00:54 Multiply the result and subtract

00:58 Now bring down the next digit and use the same steps

01:02 Divide

01:05 Write the result without remainder above, paying attention to position

01:09 Multiply the result and subtract

01:14 We got a remainder of 2

01:21 And this is the solution to the problem

Step-by-Step Solution

To solve the problem, we will perform long division of 34211 by 3:

Step 1: Divide the first digit of 34211, which is 3, by 3. $3 \div 3 = 1$ . Write 1 on top.
Step 2: Subtract $1 \times 3 = 3$ from the first 3, getting a remainder of 0. Now bring down the next digit, 4, making it 04.
Step 3: Divide 04 by 3. $4 \div 3 = 1$ . Write 1 on top.
Step 4: Subtract $1 \times 3 = 3$ from 4, getting a remainder of 1. Bring down the next digit, 2, making it 12.
Step 5: Divide 12 by 3. $12 \div 3 = 4$ . Write 4 on top.
Step 6: Subtract $4 \times 3 = 12$ from 12, getting a remainder of 0. Bring down the next digit, 1, making it 01.
Step 7: Divide 01 by 3. $1 \div 3 = 0$ . Write 0 on top.
Step 8: Subtract $0 \times 3 = 0$ from 1, getting a remainder of 1. Bring down the final digit, 1, making it 11.
Step 9: Divide 11 by 3. $11 \div 3 = 3$ . Write 3 on top.
Step 10: Subtract $3 \times 3 = 9$ from 11 to get a remainder of 2.

After completing the division, the quotient is $11403$ and the remainder is $2$ .

Therefore, the solution to the problem is $\mathbf{11403}$ with a remainder of $\mathbf{2}$ .