Let's solve the division problem step-by-step:
Given:
[tex]\[ 754 \div 22 \][/tex]
We are to perform integer division, meaning we want to determine how many times 22 can fit into 754, and also find the remainder.
Step-by-Step Solution:
1. Determine the Quotient:
- First, we need to see how many times 22 can fit into 754.
- By repeatedly subtracting 22 from 754, or using long division, we find that 22 goes into 754 a total of 34 times.
2. Calculate the Product of the Quotient and Divisor:
- Multiply the quotient found (34) by the divisor (22):
[tex]\[ 34 \times 22 = 748 \][/tex]
3. Determine the Remainder:
- Subtract the product found in the previous step from the original number (754):
[tex]\[ 754 - 748 = 6 \][/tex]
Therefore, the division of 754 by 22 results in a quotient of 34 and a remainder of 6.
Thus, we express the result as:
[tex]\[ 754 \div 22 = 34 \text{ R } 6 \][/tex]
