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Question
What is the quotient and remainder when $ 2483 $ is divided by $ 9 $ ?
Answer
The quotient is 275 and the remainder is 8.
Explanation
|
Division Table
|
| | 0 | 2 | 7 | 5 |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
| | – | 6 | 3 | |
| | | | 5 | 3 |
| | | – | 4 | 5 |
| | | | | 8 |
STEP 0: set up a division table
|
| | | | | |
| 9 | 2 | 4 | 8 | 3 |
STEP 1: DIVIDE 2 : 9 = 0 with a remainder of 2
|
| | 0 | | | |
| 9 | 2 | 4 | 8 | 3 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| | 0 | | | |
| 9 | 2 | 4 | 8 | 3 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
STEP 5: DIVIDE 24 : 9 = 2 with a remainder of 6
|
| | 0 | 2 | | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
STEP 6: MULTIPLY 2 · 9 = 18
|
| | 0 | 2 | | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| | 1 | 8 | | |
STEP 7: SUBTRACT 24 - 18 = 6
|
| | 0 | 2 | | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
STEP 9: DIVIDE 68 : 9 = 7 with a remainder of 5
|
| | 0 | 2 | 7 | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
STEP 10: MULTIPLY 7 · 9 = 63
|
| | 0 | 2 | 7 | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
| | | 6 | 3 | |
STEP 11: SUBTRACT 68 - 63 = 5
|
| | 0 | 2 | 7 | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
| | – | 6 | 3 | |
| | | | 5 | |
|
STEP 12: BRING DOWN
|
| | 0 | 2 | 7 | |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
| | – | 6 | 3 | |
| | | | 5 | 3 |
STEP 13: DIVIDE 53 : 9 = 5 with a remainder of 8
|
| | 0 | 2 | 7 | 5 |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
| | – | 6 | 3 | |
| | | | 5 | 3 |
STEP 14: MULTIPLY 5 · 9 = 45
|
| | 0 | 2 | 7 | 5 |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
| | – | 6 | 3 | |
| | | | 5 | 3 |
| | | | 4 | 5 |
STEP 15: SUBTRACT 53 - 45 = 8
|
| | 0 | 2 | 7 | 5 |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
| | – | 6 | 3 | |
| | | | 5 | 3 |
| | | – | 4 | 5 |
| | | | | 8 |
STEP 15: SUBTRACT 53 - 45 = 8
|
| | 0 | 2 | 7 | 5 |
| 9 | 2 | 4 | 8 | 3 |
| – | 0 | | | |
| | 2 | 4 | | |
| – | 1 | 8 | | |
| | | 6 | 8 | |
| | – | 6 | 3 | |
| | | | 5 | 3 |
| | | – | 4 | 5 |
| | | | | 8 |
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