1466/5

Question

1466/5
step by step

GPT-4o mini · Answer

To divide $ 1466 $ by $ 5 $ step by step, you can use long division. Here’s how it works: 1. **Set up the division**: Write $ 1466 $ under the division bar and $ 5 $ outside. ``` ________ 5 | 1466 ``` 2. **Divide the first digit**: Look at the first digit (1). Since $ 1 $ is less than $ 5 $, we move to the next digit (14). 3. **Divide 14 by 5**: - $ 5 $ goes into $ 14 $ how many times? $ 2 $ times (because $ 5 \times 2 = 10 $). - Write $ 2 $ above the division bar. ``` 2 ________ 5 | 1466 -10 (5 * 2) ----- ``` 4. **Subtract**: Subtract $ 10 $ from $ 14 $: $$ 14 - 10 = 4 $$ 5. **Bring down the next digit**: Bring down the next digit (the next digit in $ 1466 $ is $ 6 $). Now you have $ 46 $. ``` 2 ________ 5 | 1466 -10 ----- 46 ``` 6. **Divide 46 by 5**: - $ 5 $ goes into $ 46 $ $ 9 $ times (because $ 5 \times 9 = 45 $). - Write $ 9 $ above the division bar. ``` 29 ________ 5 | 1466 -10 ----- 46 -45 (5 * 9) ----- ``` 7. **Subtract again**: Subtract $ 45 $ from $ 46 $: $$ 46 - 45 = 1 $$ 8. **Bring down the last digit**: Bring down the last digit (which is also $ 6 $). Now you have $ 16 $. ``` 29 ________ 5 | 1466 -10 ----- 46 -45 ----- 16 ``` 9. **Divide 16 by 5**: - $ 5 $ goes into $ 16 $ $ 3 $ times (because $ 5 \times 3 = 15 $). - Write $ 3 $ above the division bar. ``` 293 ________ 5 | 1466 -10 ----- 46 -45 ----- 16 -15 (5 * 3) ----- ``` 10. **Subtract one more time**: Subtract $ 15 $ from $ 16 $: $$ 16 - 15 = 1 $$ 11. **Write the remainder**: Now you have reached the end of the digits in $ 1466 $. The remainder is $ 1 $. So, the final result of the division $ 1466 \div 5 $ is: $$ 293 \text{ with a remainder of } 1 $$ You can state this in mixed number form as: $$ 1466 \div 5 = 293 \frac{1}{5} $$ Or in decimal form, since there is a remainder, you can extend the division: When you divide, $ 1 $ can be expressed as $ 0.2 $ (which is $ \frac{1}{5} $), giving you: $$ 1466 \div 5 = 293.2 $$