Let's solve the division problems step by step:
1. $$270 \div 45$$
* We need to find how many times 45 fits into 270.
* $$45 \times 6 = 270$$
* Therefore, $$270 \div 45 = 6$$
2. $$2871 \div 21$$
* We need to find how many times 21 fits into 2871.
* First, divide 28 by 21, which gives 1. $$1 \times 21 = 21$$. Subtract 21 from 28, we get 7.
* Bring down the next digit, 7, to get 77.
* Divide 77 by 21, which gives 3. $$3 \times 21 = 63$$. Subtract 63 from 77, we get 14.
* Bring down the next digit, 1, to get 141.
* Divide 141 by 21, which gives 6. $$6 \times 21 = 126$$. Subtract 126 from 141, we get 15.
* Therefore, $$2871 \div 21 = 136$$ with a remainder of 15.
3. $$122 \div 2$$
* We need to find how many times 2 fits into 122.
* $$122 \div 2 = 61$$
4. $$1152 \div 96$$
* We need to find how many times 96 fits into 1152.
* Divide 115 by 96, which gives 1. $$1 \times 96 = 96$$. Subtract 96 from 115, we get 19.
* Bring down the next digit, 2, to get 192.
* Divide 192 by 96, which gives 2. $$2 \times 96 = 192$$. Subtract 192 from 192, we get 0.
* Therefore, $$1152 \div 96 = 12$$
5. $$918 \div 3$$
* We need to find how many times 3 fits into 918.
* $$918 \div 3 = 306$$
6. $$3087 \div 63$$
* We need to find how many times 63 fits into 3087.
* Divide 308 by 63, which gives 4. $$4 \times 63 = 252$$. Subtract 252 from 308, we get 56.
* Bring down the next digit, 7, to get 567.
* Divide 567 by 63, which gives 9. $$9 \times 63 = 567$$. Subtract 567 from 567, we get 0.
* Therefore, $$3087 \div 63 = 49$$
7. $$5382 \div 69$$
* We need to find how many times 69 fits into 5382.
* Divide 538 by 69, which gives 7. $$7 \times 69 = 483$$. Subtract 483 from 538, we get 55.
* Bring down the next digit, 2, to get 552.
* Divide 552 by 69, which gives 8. $$8 \times 69 = 552$$. Subtract 552 from 552, we get 0.
* Therefore, $$5382 \div 69 = 78$$
8. $$38532 \div 741$$
* We need to find how many times 741 fits into 38532.
* Divide 3853 by 741, which gives 5. $$5 \times 741 = 3705$$. Subtract 3705 from 3853, we get 148.
* Bring down the next digit, 2, to get 1482.
* Divide 1482 by 741, which gives 2. $$2 \times 741 = 1482$$. Subtract 1482 from 1482, we get 0.
* Therefore, $$38532 \div 741 = 52$$
Summary of Answers:
* $$270 \div 45 = \textbf{6}$$
* $$2871 \div 21 = \textbf{136}$$ with remainder 15
* $$122 \div 2 = \textbf{61}$$
* $$1152 \div 96 = \textbf{12}$$
* $$918 \div 3 = \textbf{306}$$
* $$3087 \div 63 = \textbf{49}$$
* $$5382 \div 69 = \textbf{78}$$
* $$38532 \div 741 = \textbf{52}$$