Answer :
To solve the division problem [tex]\(436 \div 7\)[/tex] and express it as a quotient with a remainder, follow these steps:
1. Set up the division: You have 436 (the dividend) that you need to divide by 7 (the divisor).
2. Divide: Start by dividing the first few digits of the dividend:
- Look at the first digit, 4. Since 4 is less than 7, we consider the first two digits of the dividend, which are 43.
- Calculate how many times 7 can fit into 43. It goes in 6 times (because [tex]\(7 \times 6 = 42\)[/tex]).
3. Subtract and bring down:
- Subtract 42 from 43 and you get 1.
- Bring down the next digit of the dividend, which is 6, making it 16.
4. Continue dividing:
- Determine how many times 7 fits into 16. It fits 2 times (because [tex]\(7 \times 2 = 14\)[/tex]).
5. Subtract:
- Subtract 14 from 16, and you get 2 as the remainder.
Putting everything together, the quotient is 62 with a remainder of 2. Therefore, [tex]\(436 \div 7 = 62 \, \text{R} \, 2\)[/tex].
1. Set up the division: You have 436 (the dividend) that you need to divide by 7 (the divisor).
2. Divide: Start by dividing the first few digits of the dividend:
- Look at the first digit, 4. Since 4 is less than 7, we consider the first two digits of the dividend, which are 43.
- Calculate how many times 7 can fit into 43. It goes in 6 times (because [tex]\(7 \times 6 = 42\)[/tex]).
3. Subtract and bring down:
- Subtract 42 from 43 and you get 1.
- Bring down the next digit of the dividend, which is 6, making it 16.
4. Continue dividing:
- Determine how many times 7 fits into 16. It fits 2 times (because [tex]\(7 \times 2 = 14\)[/tex]).
5. Subtract:
- Subtract 14 from 16, and you get 2 as the remainder.
Putting everything together, the quotient is 62 with a remainder of 2. Therefore, [tex]\(436 \div 7 = 62 \, \text{R} \, 2\)[/tex].
