Here are the step-by-step solutions for each division problem:
1) 81 ÷ 0.9
* Move the decimal point one place to the right in both numbers to make the divisor a whole number: $810 \div 9$.
* $81 \div 9 = 9$, so $810 \div 9 = 90$.
2) 0.016 ÷ 0.02
* Move the decimal point two places to the right in both numbers: $1.6 \div 2$.
* $16 \div 2 = 8$, so $1.6 \div 2 = 0.8$.
3) 1.86 ÷ 3
* Divide as usual since the divisor is already a whole number.
* $18 \div 3 = 6$ and $6 \div 3 = 2$.
* Place the decimal point directly above:
0.62.
4) 20.86 ÷ 0.2
* Move the decimal point one place to the right in both numbers: $208.6 \div 2$.
* $200 \div 2 = 100$, $8 \div 2 = 4$, $0.6 \div 2 = 0.3$.
* Combine them:
104.3.
5) 10.47 ÷ 0.03
* Move the decimal point two places to the right in both numbers: $1047 \div 3$.
* $10 \div 3 = 3$ remainder 1.
* $14 \div 3 = 4$ remainder 2.
* $27 \div 3 = 9$.
* Result:
349.
6) 6.3 ÷ 7
* Think of $63 \div 7 = 9$.
* Since it is $6.3$, the answer is
0.9.
7) 23.580 ÷ 0.20
* Move the decimal point two places to the right in both numbers: $2358 \div 20$.
* This is the same as $235.8 \div 2$.
* $200 \div 2 = 100$, $30 \div 2 = 15$, $5 \div 2 = 2.5$, $0.8 \div 2 = 0.4$.
* $100 + 15 + 2.5 + 0.4 =$
117.9.
8) 11.5213 ÷ 0.7
* Move the decimal point one place to the right in both numbers: $115.213 \div 7$.
* $11 \div 7 = 1$ rem 4.
* $45 \div 7 = 6$ rem 3.
* $32 \div 7 = 4$ rem 4.
* $41 \div 7 = 5$ rem 6.
* $63 \div 7 = 9$.
* Result:
16.459.
9) 1.2642 ÷ 0.003
* Move the decimal point three places to the right in both numbers: $1264.2 \div 3$.
* $12 \div 3 = 4$.
* $6 \div 3 = 2$.
* $4 \div 3 = 1$ rem 1.
* $12 \div 3 = 4$.
* Result:
421.4.
10) 20 ÷ 0.005
* Move the decimal point three places to the right in both numbers: $20000 \div 5$.
* $20 \div 5 = 4$.
* Add the remaining three zeros.
* Result:
4000.
Final Answer:
1) 90
2) 0.8
3) 0.62
4) 104.3
5) 349
6) 0.9
7) 117.9
8) 16.459
9) 421.4
10) 4000
Parent Tip: Review the logic above to help your child master the concept of divide decimal by decimal worksheet.