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Divide 313 by 4 using long division.

Answer :

Sure! Let's solve the long division of 313 by 4 step by step.

1. Divide: Look at the first digit of 313, which is 3. Since 3 is less than 4, you can't divide it by 4. So, consider the first two digits together, which are 31.

2. Divide Again: Now, divide 31 by 4. The closest number to 31 that is a multiple of 4 is 28 (because 4 times 7 is 28). So, the quotient for this part is 7.

3. Multiply: Multiply 7 by 4 to get 28.

4. Subtract: Subtract 28 from 31, which gives you a remainder of 3.

5. Bring Down: Bring down the next digit from the dividend, which is 3, making the number 33.

6. Repeat Division: Divide 33 by 4. The closest multiple of 4 is 32 (because 4 times 8 is 32). So, the quotient is 8.

7. Multiply Again: Multiply 8 by 4 to get 32.

8. Subtract Again: Subtract 32 from 33, and you get a remainder of 1.

Thus, when you divide 313 by 4, the quotient is 78 and the remainder is 1. Therefore, 313 divided by 4 equals 78 with a remainder of 1, or it can be expressed as 78 R1.

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Rewritten by : Brahmana