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Answer :
To solve the division problem [tex]\( 313 \div 4 \)[/tex] using long division, let's go through the steps one by one:
1. Set Up the Division:
- You have 313 as the dividend (the number being divided) and 4 as the divisor (the number you are dividing by).
2. Divide the First Part:
- Look at the first number of the dividend, which is 3. Since 3 is less than 4, we can't divide 4 into 3. So, consider the first two digits together: 31.
3. Divide 31 by 4:
- Determine how many times 4 fits into 31 without going over.
- 4 fits into 31 a total of 7 times, because [tex]\( 4 \times 7 = 28 \)[/tex].
4. Subtract and Bring Down:
- Subtract 28 from 31, which leaves you with a remainder of 3.
- Bring down the next digit from the dividend, which makes it 33.
5. Divide Again:
- Now, divide 33 by 4.
- 4 fits into 33 a total of 8 times, because [tex]\( 4 \times 8 = 32 \)[/tex].
6. Final Subtraction:
- Subtract 32 from 33, which leaves you with a remainder of 1.
So, the quotient of [tex]\( 313 \div 4 \)[/tex] is 78, and the remainder is 1.
The final answer is:
- Quotient: 78
- Remainder: 1
If the problem was asking for the result as a mixed number or a decimal:
- As a mixed number, it would be [tex]\( 78 \frac{1}{4} \)[/tex].
- As a decimal, it would be approximately 78.25.
1. Set Up the Division:
- You have 313 as the dividend (the number being divided) and 4 as the divisor (the number you are dividing by).
2. Divide the First Part:
- Look at the first number of the dividend, which is 3. Since 3 is less than 4, we can't divide 4 into 3. So, consider the first two digits together: 31.
3. Divide 31 by 4:
- Determine how many times 4 fits into 31 without going over.
- 4 fits into 31 a total of 7 times, because [tex]\( 4 \times 7 = 28 \)[/tex].
4. Subtract and Bring Down:
- Subtract 28 from 31, which leaves you with a remainder of 3.
- Bring down the next digit from the dividend, which makes it 33.
5. Divide Again:
- Now, divide 33 by 4.
- 4 fits into 33 a total of 8 times, because [tex]\( 4 \times 8 = 32 \)[/tex].
6. Final Subtraction:
- Subtract 32 from 33, which leaves you with a remainder of 1.
So, the quotient of [tex]\( 313 \div 4 \)[/tex] is 78, and the remainder is 1.
The final answer is:
- Quotient: 78
- Remainder: 1
If the problem was asking for the result as a mixed number or a decimal:
- As a mixed number, it would be [tex]\( 78 \frac{1}{4} \)[/tex].
- As a decimal, it would be approximately 78.25.
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