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

Video Solution

Solution Steps

00:04 Let's solve a division problem.

00:08 First, look at the leftmost digit of the dividend.

00:12 Five is less than eleven. So, add the next digit and divide.

00:18 Write the result above. Make sure it's in the right place.

00:23 Next, multiply this result by the divisor.

00:27 Now, subtract that product from the number.

00:33 Bring down the next digit.

00:36 Repeat the division steps.

00:42 Write the new result on top without any remainder.

00:46 Multiply and then subtract again.

00:52 Bring down the next digit just like before.

00:56 Repeat the division process.

01:02 Place the result on top without remainder.

01:06 Multiply, then subtract. Almost done!

01:10 There is a remainder of seven.

01:17 Great job! That's the solution.

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.