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Question
What is the quotient and remainder when $ 2673 $ is divided by $ 189 $ ?
Answer
The quotient is 14 and the remainder is 27.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 | 4 |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
| | | – | 1 | 8 | 9 | |
| | | | | 7 | 8 | 3 |
| | | | – | 7 | 5 | 6 |
| | | | | | 2 | 7 |
STEP 0: set up a division table
|
| | | | | | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
STEP 1: DIVIDE 2 : 189 = 0 with a remainder of 2
|
| | | | 0 | | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
STEP 2: MULTIPLY 0 · 189 = 0
|
| | | | 0 | | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | | 0 | | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
STEP 5: DIVIDE 26 : 189 = 0 with a remainder of 26
|
| | | | 0 | 0 | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
STEP 6: MULTIPLY 0 · 189 = 0
|
| | | | 0 | 0 | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | | | 0 | 0 | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
STEP 9: DIVIDE 267 : 189 = 1 with a remainder of 78
|
| | | | 0 | 0 | 1 | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
STEP 10: MULTIPLY 1 · 189 = 189
|
| | | | 0 | 0 | 1 | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
| | | | 1 | 8 | 9 | |
STEP 11: SUBTRACT 267 - 189 = 78
|
| | | | 0 | 0 | 1 | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
| | | – | 1 | 8 | 9 | |
| | | | | 7 | 8 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 1 | |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
| | | – | 1 | 8 | 9 | |
| | | | | 7 | 8 | 3 |
STEP 13: DIVIDE 783 : 189 = 4 with a remainder of 27
|
| | | | 0 | 0 | 1 | 4 |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
| | | – | 1 | 8 | 9 | |
| | | | | 7 | 8 | 3 |
STEP 14: MULTIPLY 4 · 189 = 756
|
| | | | 0 | 0 | 1 | 4 |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
| | | – | 1 | 8 | 9 | |
| | | | | 7 | 8 | 3 |
| | | | | 7 | 5 | 6 |
STEP 15: SUBTRACT 783 - 756 = 27
|
| | | | 0 | 0 | 1 | 4 |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
| | | – | 1 | 8 | 9 | |
| | | | | 7 | 8 | 3 |
| | | | – | 7 | 5 | 6 |
| | | | | | 2 | 7 |
STEP 15: SUBTRACT 783 - 756 = 27
|
| | | | 0 | 0 | 1 | 4 |
| 1 | 8 | 9 | 2 | 6 | 7 | 3 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 7 | |
| | | – | 1 | 8 | 9 | |
| | | | | 7 | 8 | 3 |
| | | | – | 7 | 5 | 6 |
| | | | | | 2 | 7 |
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