College

Divide:

\[ 1,218 \div 81 \]

Enter your answer by filling in the boxes.

\(\square\) R

Answer :

To divide 1,218 by 81, you can follow these steps:

1. Estimate the quotient. Look at the first few digits of the dividend 1,218. Since 81 is close to 80 and 1,200 is close to 1,280 (which is 16 times 80), you can start by estimating the quotient around 15.

2. Multiply and adjust. Multiply the divisor (81) by your estimate (15) to see how close it is to the dividend:
[tex]\[
81 \times 15 = 1,215
\][/tex]
This product is very close to 1,218, so the estimated quotient of 15 is likely correct.

3. Subtract to find the remainder. Subtract 1,215 from 1,218 to find the remainder:
[tex]\[
1,218 - 1,215 = 3
\][/tex]

So, when you divide 1,218 by 81, the quotient is 15 with a remainder of 3. Therefore, you can fill in the boxes as:

[tex]\[ \boxed{15} \ R \ 3 \][/tex]