Final answer:
9261 divided by 57 results in 162 with a remainder of 27. The answer needs to be rounded to the nearest whole number due to significant figures, making the final answer 162.
Step-by-step explanation:
The question asks for the division of 9261 by 57. To find the answer, we perform long division:
- Divide 57 into the first two digits of 9261, which is 92. 57 goes into 92 one time (1 x 57 = 57).
- Subtract 57 from 92, which gives us 35.
- Bring down the next digit (6), making the number 356.
- 57 goes into 356 six times (6 x 57 = 342).
- Subtract 342 from 356 to get 14.
- Bring down the last digit (1) to make 141.
- 57 goes into 141 two times (2 x 57 = 114).
- Subtract 114 from 141, leaving a remainder of 27.
So, 9261 divided by 57 is 162 with a remainder of 27. Depending on the context, you may also express this in the form of a decimal or fraction, utilizing the remainder.
However, if we consider significant figures, as mentioned in the provided information, we need to round the answer to the nearest whole number since the divisor and dividend have their farthest-right significant figures in the ones place.
Therefore, the final answer rounded to the ones place is simply 162.