Here are the solutions for the short division problems. I have worked through each one step-by-step to ensure accuracy, rounding to 2 decimal places where necessary as instructed.
1. $7584 \div 8$
* $75 \div 8 = 9$ remainder $3$
* $38 \div 8 = 4$ remainder $6$
* $64 \div 8 = 8$
*
Answer: 948
2. $8845 \div 9$
* $88 \div 9 = 9$ remainder $7$
* $74 \div 9 = 8$ remainder $2$
* $25 \div 9 = 2$ remainder $7$
* Add a decimal point and a zero: $70 \div 9 = 7$ remainder $7$
* Add another zero: $70 \div 9 = 7$ remainder $7$
* The next digit would be 7, so we round up the second decimal place.
*
Answer: 982.78
3. $6395 \div 7$
* $63 \div 7 = 9$
* $9 \div 7 = 1$ remainder $2$
* $25 \div 7 = 3$ remainder $4$
* Decimal: $40 \div 7 = 5$ remainder $5$
* Next: $50 \div 7 = 7$ remainder $1$
* The next digit is 1, so we keep the second decimal place as is.
*
Answer: 913.57
4. $9578 \div 6$
* $9 \div 6 = 1$ remainder $3$
* $35 \div 6 = 5$ remainder $5$
* $57 \div 6 = 9$ remainder $3$
* $38 \div 6 = 6$ remainder $2$
* Decimal: $20 \div 6 = 3$ remainder $2$
* Next: $20 \div 6 = 3$ remainder $2$
* The next digit is 3, so we keep the second decimal place as is.
*
Answer: 1596.33
5. $2574 \div 9$
* $25 \div 9 = 2$ remainder $7$
* $77 \div 9 = 8$ remainder $5$
* $54 \div 9 = 6$
*
Answer: 286
6. $3635 \div 8$
* $36 \div 8 = 4$ remainder $4$
* $43 \div 8 = 5$ remainder $3$
* $35 \div 8 = 4$ remainder $3$
* Decimal: $30 \div 8 = 3$ remainder $6$
* Next: $60 \div 8 = 7$ remainder $4$
* The next digit is 5 ($40 \div 8$), so we round up the second decimal place.
*
Answer: 454.38
7. $8824 \div 9$
* $88 \div 9 = 9$ remainder $7$
* $72 \div 9 = 8$
* $4 \div 9 = 0$ remainder $4$
* Decimal: $40 \div 9 = 4$ remainder $4$
* Next: $40 \div 9 = 4$ remainder $4$
* The next digit is 4, so we keep the second decimal place as is.
*
Answer: 980.44
8. $4825 \div 7$
* $48 \div 7 = 6$ remainder $6$
* $62 \div 7 = 8$ remainder $6$
* $65 \div 7 = 9$ remainder $2$
* Decimal: $20 \div 7 = 2$ remainder $6$
* Next: $60 \div 7 = 8$ remainder $4$
* The next digit is 5 ($40 \div 7$), so we round up the second decimal place.
*
Answer: 689.29
9. $2278 \div 6$
* $22 \div 6 = 3$ remainder $4$
* $47 \div 6 = 7$ remainder $5$
* $58 \div 6 = 9$ remainder $4$
* Decimal: $40 \div 6 = 6$ remainder $4$
* Next: $40 \div 6 = 6$ remainder $4$
* The next digit is 6, so we round up the second decimal place.
*
Answer: 379.67
10. $3696 \div 7$
* $36 \div 7 = 5$ remainder $1$
* $19 \div 7 = 2$ remainder $5$
* $56 \div 7 = 8$
*
Answer: 528
11. $5174 \div 9$
* $51 \div 9 = 5$ remainder $6$
* $67 \div 9 = 7$ remainder $4$
* $44 \div 9 = 4$ remainder $8$
* Decimal: $80 \div 9 = 8$ remainder $8$
* Next: $80 \div 9 = 8$ remainder $8$
* The next digit is 8, so we round up the second decimal place.
*
Answer: 574.89
12. $8298 \div 6$
* $8 \div 6 = 1$ remainder $2$
* $22 \div 6 = 3$ remainder $4$
* $49 \div 6 = 8$ remainder $1$
* $18 \div 6 = 3$
*
Answer: 1383
Final Answer:
1. 948
2. 982.78
3. 913.57
4. 1596.33
5. 286
6. 454.38
7. 980.44
8. 689.29
9. 379.67
10. 528
11. 574.89
12. 1383
Parent Tip: Review the logic above to help your child master the concept of worksheet on division for grade.