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Question
What is the quotient and remainder when $ 983 $ is divided by $ 223 $ ?
Answer
The quotient is 4 and the remainder is 91.
Explanation
|
Division Table
|
| | | | 0 | 0 | 4 |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
| | | | – | 0 | |
| | | | 9 | 8 | 3 |
| | | – | 8 | 9 | 2 |
| | | | | 9 | 1 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 2 | 3 | 9 | 8 | 3 |
STEP 1: DIVIDE 9 : 223 = 0 with a remainder of 9
|
| | | | 0 | | |
| 2 | 2 | 3 | 9 | 8 | 3 |
STEP 2: MULTIPLY 0 · 223 = 0
|
| | | | 0 | | |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | | 0 | | |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
STEP 5: DIVIDE 98 : 223 = 0 with a remainder of 98
|
| | | | 0 | 0 | |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
STEP 6: MULTIPLY 0 · 223 = 0
|
| | | | 0 | 0 | |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
| | | | | 0 | |
STEP 7: SUBTRACT 98 - 0 = 98
|
| | | | 0 | 0 | |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
| | | | – | 0 | |
| | | | 9 | 8 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
| | | | – | 0 | |
| | | | 9 | 8 | 3 |
STEP 9: DIVIDE 983 : 223 = 4 with a remainder of 91
|
| | | | 0 | 0 | 4 |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
| | | | – | 0 | |
| | | | 9 | 8 | 3 |
STEP 10: MULTIPLY 4 · 223 = 892
|
| | | | 0 | 0 | 4 |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
| | | | – | 0 | |
| | | | 9 | 8 | 3 |
| | | | 8 | 9 | 2 |
STEP 11: SUBTRACT 983 - 892 = 91
|
| | | | 0 | 0 | 4 |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
| | | | – | 0 | |
| | | | 9 | 8 | 3 |
| | | – | 8 | 9 | 2 |
| | | | | 9 | 1 |
STEP 11: SUBTRACT 983 - 892 = 91
|
| | | | 0 | 0 | 4 |
| 2 | 2 | 3 | 9 | 8 | 3 |
| | | – | 0 | | |
| | | | 9 | 8 | |
| | | | – | 0 | |
| | | | 9 | 8 | 3 |
| | | – | 8 | 9 | 2 |
| | | | | 9 | 1 |
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