Solve Long Division: Dividing 1040 by 4 Step-by-Step

Question

41040

Video Solution

Solution Steps

00:00 Solve
00:04 Let's start by dividing the leftmost digit in the dividend
00:07 1 is less than 4, so we'll add the next digit, and then divide
00:12 Write the result without the remainder above, pay attention to the position
00:15 Now multiply the result by the divisor
00:20 Subtract the product from the number
00:24 Now bring down the next digit and use the same steps
00:27 Divide
00:31 Write the result above, pay attention to the position
00:34 Multiply the result, subtract
00:42 Now bring down the next digit and use the same steps
00:48 Divide
00:52 Write the result above, pay attention to the position
00:56 Multiply the result, subtract
00:59 We got a remainder of 0
01:04 And this is the solution to the question

Step-by-Step Solution

To solve this division problem, we will use the long division method to divide 1040 by 4.

Step 1: Set up the division.
The dividend is 1040, and the divisor is 4. We will determine how many times 4 can fit into each part of 1040.

Step 2: Division of each digit group.
- Divide the first digit: 10 (from 1040) by 4. The result is 2, since 4 fits into 10 two times (4x2=8).
- Subtract 8 from 10, leaving a remainder of 2. Bring down the next digit 4 to make it 24.
- Divide 24 by 4. The result is 6, since 4 fits into 24 six times (4x6=24).
- Subtract 24 from 24, leaving no remainder.
- Bring down the last digit: 0. 0 divided by 4 is 0.

Step 3: Combine the results.
The results of our divisions are combined to form the complete quotient of 260.

Therefore, when 1040 is divided by 4, the quotient is 260 260 .

Answer

260 260