How to Divide 4498 by 52 - Step-by-Step Explanation

Step-by-Step Division of 4498 by 52

To divide 4498 by 52, follow these steps:

1. Set Up the Division: Write 4498 (the dividend) under the division bar and 52 (the divisor) outside the bar.
2. Divide the First Part: Look at the first two digits of 4498 (which is 44). Determine how many times 52 can fit into 44. The answer is 0 times since 52 is greater than 44.
3. Move to the Next Digit: Now consider the first three digits, which is 449. Ask how many times 52 fits into 449. It fits 8 times because 52 × 8 = 416.
4. Subtract: Write 416 below 449 and subtract it. 449 - 416 = 33.
5. Brought Down the Next Digit: Bring down the next digit from 4498, which is 8, making it 338.
6. Divide Again: Now, determine how many times 52 fits into 338. It fits 6 times because 52 × 6 = 312.
7. Subtract Again: Write 312 below 338 and subtract it. 338 - 312 = 26.
8. Final Remainder: Since there are no more digits to bring down, your answer is complete. You found that:

Final Answer: 4498 ÷ 52 = 86 with a remainder of 26, or in decimal form, it can be expressed as approximately 86.5.