1,005 divided by 8 = ?

1,005 / 8 = ( 1,000 + 5 ) / 8 = 1,000 / 8 + 5 / 8 = 125 5/8

Remainder = 5

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and what is the remainder?

To divide 1,005 by 8, we need to perform long division. Here is how you can do it step-by-step:

1. Write down the dividend (1,005) and the divisor (8) with a division symbol between them:

__________
| 1,005 |
| 8 |
__________

2. Start with the leftmost digit of the dividend (1), and check how many times the divisor (8) can be divided into it. In this case, 1 cannot be divided by 8, so we move to the next digit.

3. Bring down the next digit (0) next to the remainder (if any). Now, we have 10.

__________
| 1,005 |
| 8 |
__________
8

4. Determine how many times the divisor can be divided into the new number (10). In this case, 10 divided by 8 is 1 with a remainder of 2.

__________
| 1,005 |
| 8 |
__________
81
8

5. Bring down the next digit (5) next to the remainder (if any). Now, we have 25.

__________
| 1,005 |
| 8 |
__________
81
85

6. Determine how many times the divisor can be divided into the new number (25). You should find that 25 divided by 8 is 3 with a remainder of 1.

__________
| 1,005 |
| 8 |
__________
81
85
8

7. If there are no more digits to bring down and the remainder is zero, then the division is complete. The quotient (the answer) is the sequence of numbers that were placed above the division symbol: 125.

Therefore, 1,005 divided by 8 equals 125.