Here are the solutions for the division problems on the worksheet. I have worked through each one step-by-step to find the quotient (the answer) and the remainder (what is left over).
1) $20 \div 10$
* Think: How many times does 10 go into 20?
* $10 \times 2 = 20$.
* It fits exactly 2 times with nothing left over.
*
Answer: 2
2) $46 \div 5$
* Think: What is the closest multiple of 5 to 46 without going over?
* $5 \times 9 = 45$.
* $46 - 45 = 1$.
* So, 5 goes in 9 times, and there is 1 left over.
*
Answer: 9 R 1
3) $36 \div 11$
* Think: What is the closest multiple of 11 to 36?
* $11 \times 3 = 33$.
* $11 \times 4 = 44$ (this is too big).
* $36 - 33 = 3$.
* So, 11 goes in 3 times, and there is 3 left over.
*
Answer: 3 R 3
4) $13 \div 7$
* Think: How many times does 7 go into 13?
* $7 \times 1 = 7$.
* $7 \times 2 = 14$ (this is too big).
* $13 - 7 = 6$.
* So, 7 goes in 1 time, and there is 6 left over.
*
Answer: 1 R 6
5) $54 \div 18$
* Think: How many times does 18 go into 54?
* Let's try multiplying:
* $18 \times 2 = 36$
* $18 \times 3 = 54$
* It fits exactly 3 times.
*
Answer: 3
6) $49 \div 7$
* Think: This is a multiplication fact. What times 7 equals 49?
* $7 \times 7 = 49$.
* It fits exactly 7 times.
*
Answer: 7
7) $69 \div 3$
* Think: Divide each part.
* 3 goes into 6 two times ($3 \times 2 = 6$).
* 3 goes into 9 three times ($3 \times 3 = 9$).
* Put them together: 23.
*
Answer: 23
8) $51 \div 9$
* Think: What is the closest multiple of 9 to 51?
* $9 \times 5 = 45$.
* $9 \times 6 = 54$ (too big).
* $51 - 45 = 6$.
* So, 9 goes in 5 times, and there is 6 left over.
*
Answer: 5 R 6
9) $17 \div 12$
* Think: How many times does 12 go into 17?
* $12 \times 1 = 12$.
* $12 \times 2 = 24$ (too big).
* $17 - 12 = 5$.
* So, 12 goes in 1 time, and there is 5 left over.
*
Answer: 1 R 5
10) $70 \div 14$
* Think: How many times does 14 go into 70?
* Let's try multiplying:
* $14 \times 2 = 28$
* $14 \times 4 = 56$
* $14 \times 5 = 70$
* It fits exactly 5 times.
*
Answer: 5
11) $96 \div 16$
* Think: How many times does 16 go into 96?
* Let's try multiplying:
* $16 \times 5 = 80$
* $16 \times 6 = 96$
* It fits exactly 6 times.
*
Answer: 6
Final Answer:
1) 2
2) 9 R 1
3) 3 R 3
4) 1 R 6
5) 3
6) 7
7) 23
8) 5 R 6
9) 1 R 5
10) 5
11) 6
Parent Tip: Review the logic above to help your child master the concept of short division worksheet.
