Long Division Problem: Dividing 5111 by 11 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

00:07 5 is less than 11, so we'll add the next digit, and then divide

00:14 Write the result without remainder above, paying attention to placement

00:19 Now multiply the result by the divisor

00:23 Subtract the product from the number

00:29 Now bring down the next digit and use the same steps

00:32 Divide

00:38 Write the result without remainder above, paying attention to placement

00:42 Multiply the result, and subtract

00:48 Now bring down the next digit and use the same steps

00:52 Divide

00:58 Write the result without remainder above, paying attention to placement

01:02 Multiply the result, and subtract

01:06 We got a remainder of 7

01:13 And this is the solution to the problem

Step-by-Step Solution

To solve this problem using long division, we will follow these steps:

Step 1: Set up the division of 5111 by 11.
Step 2: Divide the first few digits until you have a number greater than or equal to 11.
Step 3: Subtract the result and bring down the next digit.
Step 4: Repeat the process until all digits are used.

Let's perform the division:

Step 1: Take the first digit of 5111, which is 5. Since 5 is less than 11, look at the first two digits, 51.

Step 2: Divide 51 by 11. The result is 4 (since $4 \times 11 = 44$ ), with a remainder of 7.

Subtract 44 from 51, we get 7. Bring down the next digit, 1, making the number 71.

Step 3: Divide 71 by 11, which is 6 (since $6 \times 11 = 66$ ), with a remainder of 5.

Subtract 66 from 71, we get 5. Bring down the next digit, 1, making the number 51.

Step 4: Divide 51 by 11, which is 4 again, with a remainder of 7 (since $4 \times 11 = 44$ ). There are no more digits to bring down.

The quotient from dividing 5111 by 11 is therefore 464 with a remainder of 7.

Therefore, the solution to the problem is $464$ with a remainder of 7.