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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 .
That's normal! Find how many times it does fit, then subtract and bring down the next digit. For example, 4 goes into 10 exactly 2 times with remainder 2.
Bringing down digits preserves place value! Each position (thousands, hundreds, tens, ones) must be handled correctly to get the right answer.
Ask yourself: How many times does my divisor fit into this number? If 4 goes into 24 exactly 6 times (because 4×6=24), then 6 is your quotient digit.
Perfect! That means your division is exact with no remainder. Just continue with the next digit if there is one, or you're done!
Multiply your quotient by the original divisor. If you get back the original dividend, your answer is correct! ✓
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