Final answer:
To determine the position of the first digit of the quotient in 5292 ÷ 36, Liz should perform long division by checking how many times 36 fits into the first two digits of 5292, which is 52. She would place the first digit of the quotient above the second digit of the dividend, based on the largest multiple of 36 that fits into 52 without exceeding it.
Step-by-step explanation:
To find 5292 ÷ 36 and decide where to write the first digit of the quotient, Liz needs to understand the concept of long division. When performing long division, Liz should look for the largest multiple of 36 that fits into the first few digits of 5292 without exceeding it. Starting from the left, she can see that 36 doesn't fit into 5, but it fits into 52 one time because 36 times 1 is 36, which is less than 52. The first digit of the quotient will be above the second digit (2) of the dividend (5292).
Here's a step-by-step guide:
- Write 5292 under the division bracket and 36 outside.
- Determine how many times 36 can fit into 52, which is the first two digits of 5292, without going over. The number is 1, so write '1' above the '2' in '5292'.
- Multiply 36 by 1 and subtract the result from 52. Then bring down the next digit of 5292, which is 9, and repeat the process.
By starting with the first two digits rather than just the first, Liz ensures that the first digit of the quotient is placed correctly in the division process.