Long Division Problem: Dividing 52103 by 29 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

00:08 5 is less than 29, so we'll add the next digit and then divide

00:17 Write the result without remainder above, pay attention to the position

00:22 Now multiply the result by the divisor

00:25 Subtract the product from the number

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

00:34 Divide

00:39 Write the result without remainder above, pay attention to the position

00:43 Multiply the result and subtract

00:53 Now bring down the next digit below and use the same steps

00:59 Divide

01:04 Write the result without remainder above, pay attention to the position

01:10 Multiply the result and subtract

01:17 Now bring down the next digit below and use the same steps

01:20 Divide

01:24 Write the result without remainder above, pay attention to the position

01:33 Multiply the result and subtract

01:42 We got a remainder of 19

01:46 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will perform a long division of 52103 by 29 and determine both the quotient and the remainder.

Let's divide 52103 by 29 using long division:

First, see how many times 29 can go into the first few digits of 52103, starting from the left.
29 into 52 goes 1 time. Multiply $29 \times 1 = 29$ . Subtract 29 from 52, giving us 23.
Bring down the next digit forming 231.
29 into 231 goes 7 times. Multiply $29 \times 7 = 203$ . Subtract 203 from 231, giving us 28.
Bring down the next digit forming 280.
29 into 280 goes 9 times. Multiply $29 \times 9 = 261$ . Subtract 261 from 280, giving us 19.
Bring down the last digit forming 193.
29 into 193 goes 6 times. Multiply $29 \times 6 = 174$ . Subtract 174 from 193, giving us 19.

The quotient of the division of 52103 by 29 is 1796 with a remainder of 19, which matches choice 4.

Therefore, the correct answer is: $1796$ with a remainder of 19.