Sure, I will explain the division step-by-step.
We need to divide 4873 by 56.
1. First Step: Determine how many times 56 fits into the leading digit(s) of 4873.
- Look at the first two digits of 4873 (which is 48). Since 48 is less than 56, we need to look at the first three digits instead.
- Look at 487. Determine how many times 56 can fit into 487.
2. Second Step: Find the approximate quotient for the first three digits.
- Determine how many times 56 can fit into 487 completely (without exceeding it).
- By estimation and checking: 56 8 = 448 and 56 9 = 504. Since 504 is greater than 487, we use 8 as the quotient here.
3. Third Step: Subtract and bring down the next digit.
- Multiply 56 by 8: 56 8 = 448.
- Subtract this product from 487: 487 - 448 = 39.
- Bring down the next digit of 4873, which is 3, making it 393.
4. Fourth Step: Divide the new number by 56.
- Determine how many times 56 can fit into 393.
- By estimation and checking: 56 7 = 392. Since 56 8 = 448 (which is more than 393), we use 7 as the quotient here.
5. Fifth Step: Subtract again.
- Multiply 56 by 7: 56 7 = 392.
- Subtract this product from 393: 393 - 392 = 1.
So, when you divide 4873 by 56, the quotient is 87, and the remainder is 1.
Thus, the final answer is:
- Quotient: 87
- Remainder: 1
