Use long division to divide 4 into 763
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To divide 763 by 4 using long division, follow these steps:
1. Start by writing the dividend (763) inside the division symbol and the divisor (4) outside the division symbol.
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4 | 763
2. Divide the first digit of the dividend (7) by the divisor (4). Since 7 is greater than 4, the quotient will be greater than 1. Write the quotient (1) above the line, just above the 7.
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4 | 763
1
3. Now multiply the quotient (1) by the divisor (4). The product is 4. Write this below the first digit of the dividend (7).
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4 | 763
1
------
4
4. Subtract the product (4) from the first two digits of the dividend (7 - 4). Write the result (3) below the line, in line with the previous subtraction.
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4 | 763
1
------
3
5. Drop down the next digit from the dividend (6) next to the remainder (3). This gives a new two-digit number to divide.
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4 | 763
1
------
36
6. Divide the new two-digit number (36) by the divisor (4). The quotient is 9. Write this above the line, just above the 6.
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4 | 763
1
------
36
9
7. Multiply the quotient (9) by the divisor (4). The product is 36. Write this below the two-digit number (36).
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4 | 763
1
------
36
36
8. Subtract the product (36) from the two-digit number (36 - 36). This leaves no remainder.
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4 | 763
1
------
36
36
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0
9. Since there are no more digits in the dividend, the division is complete. The quotient is the number above the line (19), and there is no remainder.
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4 | 763
1
------
36
36
------
0
Therefore, when dividing 763 by 4 using long division, the quotient is 19, and there is no remainder.