Sure, let's break down the division of 44,053 by 8 step-by-step:
1. Start with the leftmost digit:
The first digit of 44,053 is 4.
Since 4 is less than 8, we cannot divide it by 8.
2. Consider the first two digits:
Take the first two digits: 44.
Now, divide 44 by 8.
8 goes into 44 a total of 5 times (since 8 5 = 40).
3. Write down the quotient digit:
Place 5 above the division bar (as part of the quotient).
4. Multiply and subtract:
8 5 = 40.
Subtract 40 from 44.
44 - 40 = 4.
Write the 4 below and bring down the next digit, which is 0.
5. Repeat the division:
Now we have 40.
Divide 40 by 8.
8 goes into 40 exactly 5 times (since 8 5 = 40).
6. Write down the next quotient digit:
Place 5 above the division bar next to the previous quotient digit (resulting in 55).
7. Multiply and subtract:
8 5 = 40.
Subtract 40 from 40.
40 - 40 = 0.
Write the 0 down and bring down the next digit, which is 5.
8. Continue with the division:
Now we have 05.
8 does not go into 5 (0 times).
9. Write down the next quotient digit:
Place 0 above the division bar, next to the previous quotient digits (resulting in 550).
10. Bring down the next digit:
Write down the 5 below and bring the next digit, which is 3.
Now we have 53.
11. Final division step:
Divide 53 by 8.
8 goes into 53 a total of 6 times (since 8 6 = 48).
12. Write down the final quotient digit:
Place 6 above the division bar, next to the previous quotient digits (resulting in 5506).
13. Multiply and subtract one last time:
8 6 = 48.
Subtract 48 from 53.
53 - 48 = 5, which is the remainder.
So, when you divide 44,053 by 8, the quotient is 5,506 and the remainder is 5. Therefore, the final answer can be written as:
[tex]\[ 44053 \div 8 = 5506 \text{ remainder } 5 \][/tex]
In summary:
- Quotient: 5506
- Remainder: 5
