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Question
What is the quotient and remainder when $ 8967 $ is divided by $ 5 $ ?
Answer
The quotient is 1793 and the remainder is 2.
Explanation
|
Division Table
|
| | 1 | 7 | 9 | 3 |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 7 |
| | | – | 1 | 5 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
| 5 | 8 | 9 | 6 | 7 |
STEP 1: DIVIDE 8 : 5 = 1 with a remainder of 3
|
| | 1 | | | |
| 5 | 8 | 9 | 6 | 7 |
STEP 2: MULTIPLY 1 · 5 = 5
|
| | 1 | | | |
| 5 | 8 | 9 | 6 | 7 |
| | 5 | | | |
STEP 3: SUBTRACT 8 - 5 = 3
|
| | 1 | | | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
STEP 5: DIVIDE 39 : 5 = 7 with a remainder of 4
|
| | 1 | 7 | | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
STEP 6: MULTIPLY 7 · 5 = 35
|
| | 1 | 7 | | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| | 3 | 5 | | |
STEP 7: SUBTRACT 39 - 35 = 4
|
| | 1 | 7 | | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 7 | | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
STEP 9: DIVIDE 46 : 5 = 9 with a remainder of 1
|
| | 1 | 7 | 9 | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
STEP 10: MULTIPLY 9 · 5 = 45
|
| | 1 | 7 | 9 | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
| | | 4 | 5 | |
STEP 11: SUBTRACT 46 - 45 = 1
|
| | 1 | 7 | 9 | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | |
|
STEP 12: BRING DOWN
|
| | 1 | 7 | 9 | |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 7 |
STEP 13: DIVIDE 17 : 5 = 3 with a remainder of 2
|
| | 1 | 7 | 9 | 3 |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 7 |
STEP 14: MULTIPLY 3 · 5 = 15
|
| | 1 | 7 | 9 | 3 |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 7 |
| | | | 1 | 5 |
STEP 15: SUBTRACT 17 - 15 = 2
|
| | 1 | 7 | 9 | 3 |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 7 |
| | | – | 1 | 5 |
| | | | | 2 |
STEP 15: SUBTRACT 17 - 15 = 2
|
| | 1 | 7 | 9 | 3 |
| 5 | 8 | 9 | 6 | 7 |
| – | 5 | | | |
| | 3 | 9 | | |
| – | 3 | 5 | | |
| | | 4 | 6 | |
| | – | 4 | 5 | |
| | | | 1 | 7 |
| | | – | 1 | 5 |
| | | | | 2 |
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