Long Division Problem: Dividing 3540 by 17 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

00:06 3 is less than 17, so we'll include the next digit, and then divide

00:11 Write the result without the remainder above, paying attention to placement

00:14 Now multiply the result by the divisor

00:19 Subtract the product from the number

00:23 Now bring down the next digit and use the same steps

00:28 Divide

00:32 Write the result without the remainder above, paying attention to placement

00:36 Multiply the result and subtract

00:46 Now bring down the next digit and use the same steps

00:54 Divide

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

01:03 Multiply the result and subtract

01:11 We got a remainder of 4

01:16 And this is the solution to the problem

Step-by-Step Solution

To solve the division problem of $3540 \div 17$ , follow these steps:

Step 1: Determine how many times 17 can fit into 35. It fits 2 times.
Step 2: Multiply 17 by 2 to get 34, and subtract this from 35 to get a remainder of 1.
Step 3: Bring down the next digit from 3540, which is 4, to make it 14.
Step 4: 17 does not fit into 14, so put 0 in the quotient.
Step 5: Bring down the next digit, which is 0, to make 140.
Step 6: Determine how many times 17 fits into 140. It fits 8 times.
Step 7: Multiply 17 by 8 to get 136, and subtract this from 140 to get a remainder of 4.

Adding together what we have collected in the quotient (2, 0, 8), we get 208 as the quotient.

Therefore, the quotient is $\textbf{208}$ and the remainder is $\textbf{4}$ .

The correct option from the choices is: $208$ with a remainder of 4.

Therefore, the solution to the problem is $208$ with a remainder of 4.