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Question
What is the quotient and remainder when $ 953 $ is divided by $ 22 $ ?
Answer
The quotient is 43 and the remainder is 7.
Explanation
|
Division Table
|
| | | 0 | 4 | 3 |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
| | – | 8 | 8 | |
| | | | 7 | 3 |
| | | – | 6 | 6 |
| | | | | 7 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 2 | 9 | 5 | 3 |
STEP 1: DIVIDE 9 : 22 = 0 with a remainder of 9
|
| | | 0 | | |
| 2 | 2 | 9 | 5 | 3 |
STEP 2: MULTIPLY 0 · 22 = 0
|
| | | 0 | | |
| 2 | 2 | 9 | 5 | 3 |
| | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
STEP 5: DIVIDE 95 : 22 = 4 with a remainder of 7
|
| | | 0 | 4 | |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
STEP 6: MULTIPLY 4 · 22 = 88
|
| | | 0 | 4 | |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
| | | 8 | 8 | |
STEP 7: SUBTRACT 95 - 88 = 7
|
| | | 0 | 4 | |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
| | – | 8 | 8 | |
| | | | 7 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 4 | |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
| | – | 8 | 8 | |
| | | | 7 | 3 |
STEP 9: DIVIDE 73 : 22 = 3 with a remainder of 7
|
| | | 0 | 4 | 3 |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
| | – | 8 | 8 | |
| | | | 7 | 3 |
STEP 10: MULTIPLY 3 · 22 = 66
|
| | | 0 | 4 | 3 |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
| | – | 8 | 8 | |
| | | | 7 | 3 |
| | | | 6 | 6 |
STEP 11: SUBTRACT 73 - 66 = 7
|
| | | 0 | 4 | 3 |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
| | – | 8 | 8 | |
| | | | 7 | 3 |
| | | – | 6 | 6 |
| | | | | 7 |
STEP 11: SUBTRACT 73 - 66 = 7
|
| | | 0 | 4 | 3 |
| 2 | 2 | 9 | 5 | 3 |
| | – | 0 | | |
| | | 9 | 5 | |
| | – | 8 | 8 | |
| | | | 7 | 3 |
| | | – | 6 | 6 |
| | | | | 7 |
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