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What is the quotient and remainder when $ 882221 $ is divided by $ 98831 $ ?
Answer
The quotient is 8 and the remainder is 91573.
Explanation
Division Table
|
| | | | | 0 | 0 | 0 | 0 | 0 | 8 |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
| | | | | | | | – | 0 | |
| | | | | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 7 | 9 | 0 | 6 | 4 | 8 |
| | | | | | 9 | 1 | 5 | 7 | 3 |
STEP 0: set up a division table
|
| | | | | | | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
STEP 1: DIVIDE 8 : 98831 = 0 with a remainder of 8
|
| | | | | 0 | | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
STEP 2: MULTIPLY 0 · 98831 = 0
|
| | | | | 0 | | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | | 0 | | | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | | | 0 | | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | | | | | |
STEP 4: BRING DOWN
|
| | | | | 0 | | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
STEP 5: DIVIDE 88 : 98831 = 0 with a remainder of 88
|
| | | | | 0 | 0 | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
STEP 6: MULTIPLY 0 · 98831 = 0
|
| | | | | 0 | 0 | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | | 0 | | | | |
STEP 7: SUBTRACT 88 - 0 = 88
|
| | | | | 0 | 0 | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | | | | |
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
STEP 9: DIVIDE 882 : 98831 = 0 with a remainder of 882
|
| | | | | 0 | 0 | 0 | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
STEP 10: MULTIPLY 0 · 98831 = 0
|
| | | | | 0 | 0 | 0 | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | | 0 | | | |
STEP 11: SUBTRACT 882 - 0 = 882
|
| | | | | 0 | 0 | 0 | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | | | |
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
STEP 13: DIVIDE 8822 : 98831 = 0 with a remainder of 8822
|
| | | | | 0 | 0 | 0 | 0 | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
STEP 14: MULTIPLY 0 · 98831 = 0
|
| | | | | 0 | 0 | 0 | 0 | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | | 0 | | |
STEP 15: SUBTRACT 8822 - 0 = 8822
|
| | | | | 0 | 0 | 0 | 0 | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | | |
STEP 16: BRING DOWN
|
| | | | | 0 | 0 | 0 | 0 | | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
STEP 17: DIVIDE 88222 : 98831 = 0 with a remainder of 88222
|
| | | | | 0 | 0 | 0 | 0 | 0 | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
STEP 18: MULTIPLY 0 · 98831 = 0
|
| | | | | 0 | 0 | 0 | 0 | 0 | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
| | | | | | | | | 0 | |
STEP 19: SUBTRACT 88222 - 0 = 88222
|
| | | | | 0 | 0 | 0 | 0 | 0 | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
| | | | | | | | – | 0 | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
STEP 20: BRING DOWN
|
| | | | | 0 | 0 | 0 | 0 | 0 | |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
| | | | | | | | – | 0 | |
| | | | | 8 | 8 | 2 | 2 | 2 | 1 |
STEP 21: DIVIDE 882221 : 98831 = 8 with a remainder of 91573
|
| | | | | 0 | 0 | 0 | 0 | 0 | 8 |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
| | | | | | | | – | 0 | |
| | | | | 8 | 8 | 2 | 2 | 2 | 1 |
STEP 22: MULTIPLY 8 · 98831 = 790648
|
| | | | | 0 | 0 | 0 | 0 | 0 | 8 |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
| | | | | | | | – | 0 | |
| | | | | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | | 7 | 9 | 0 | 6 | 4 | 8 |
STEP 23: SUBTRACT 882221 - 790648 = 91573
|
| | | | | 0 | 0 | 0 | 0 | 0 | 8 |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
| | | | | | | | – | 0 | |
| | | | | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 7 | 9 | 0 | 6 | 4 | 8 |
| | | | | | 9 | 1 | 5 | 7 | 3 |
STEP 23: SUBTRACT 882221 - 790648 = 91573
|
| | | | | 0 | 0 | 0 | 0 | 0 | 8 |
9 | 8 | 8 | 3 | 1 | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 0 | | | | | |
| | | | | 8 | 8 | | | | |
| | | | | – | 0 | | | | |
| | | | | 8 | 8 | 2 | | | |
| | | | | | – | 0 | | | |
| | | | | 8 | 8 | 2 | 2 | | |
| | | | | | | – | 0 | | |
| | | | | 8 | 8 | 2 | 2 | 2 | |
| | | | | | | | – | 0 | |
| | | | | 8 | 8 | 2 | 2 | 2 | 1 |
| | | | – | 7 | 9 | 0 | 6 | 4 | 8 |
| | | | | | 9 | 1 | 5 | 7 | 3 |
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