long division 823 divide by 7
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http://www.coolmath4kids.com/long-division/long-division-lesson-1.html
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38÷6
To divide 823 by 7 using long division, follow these steps:
1. Write 823 as the dividend and 7 as the divisor.
823 | 7
2. Start by dividing the first digit of the dividend (8) by the divisor (7). The quotient is the result of this division, and the remainder is the difference between the product of the quotient and the divisor and the current digit.
823 | 7
----
1
3. Multiply the quotient (1) by the divisor (7) to get the product (7) and subtract it from the first digit of the dividend (8) to get the remainder (8 - 7 = 1).
823 | 7
----
1
- 7
4. Bring down the next digit of the dividend (2) and divide it by the divisor (7). The resulting quotient is placed to the right of the previous quotient.
823 | 7
----
11
- 7
5. Multiply the new quotient (11) by the divisor (7) to get the product (77) and subtract it from the remainder (1) and the next digit of the dividend (2) to get the new remainder (12 - 7 = 5).
823 | 7
----
117
- 77
---
5
6. Bring down the next digit of the dividend (3) and divide it by the divisor (7). The resulting quotient is placed to the right of the previous quotient.
823 | 7
----
117
- 77
---
35
7. Multiply the new quotient (117) by the divisor (7) to get the product (819) and subtract it from the remainder (5) and the next digit of the dividend (3) to get the new remainder (53 - 49 = 4).
823 | 7
----
117
- 77
---
53
- 49
---
4
8. Since we have now reached the end of the dividend, the quotient is the final result. In this case, 823 divided by 7 equals 117 with a remainder of 4.
Therefore, the answer to 823 divided by 7 is 117 remainder 4.