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Question
What is the quotient and remainder when $ 4070 $ is divided by $ 5 $ ?
Answer
The quotient is 814 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 8 | 1 | 4 |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
| | – | 5 | | |
| | | 2 | 0 | |
| | – | 2 | 0 | |
| | | | 0 | |
STEP 0: set up a division table
|
| | | | | |
| 5 | 4 | 0 | 7 | 0 |
STEP 1: DIVIDE 4 : 5 = 0 with a remainder of 4
|
| | 0 | | | |
| 5 | 4 | 0 | 7 | 0 |
STEP 2: MULTIPLY 0 · 5 = 0
|
| | 0 | | | |
| 5 | 4 | 0 | 7 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
STEP 5: DIVIDE 40 : 5 = 8 with a remainder of 0
|
| | 0 | 8 | | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
STEP 6: MULTIPLY 8 · 5 = 40
|
| | 0 | 8 | | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| | 4 | 0 | | |
STEP 7: SUBTRACT 40 - 40 = 0
|
| | 0 | 8 | | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 8 | | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
STEP 9: DIVIDE 7 : 5 = 1 with a remainder of 2
|
| | 0 | 8 | 1 | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
STEP 10: MULTIPLY 1 · 5 = 5
|
| | 0 | 8 | 1 | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
| | | 5 | | |
STEP 11: SUBTRACT 7 - 5 = 2
|
| | 0 | 8 | 1 | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
| | – | 5 | | |
| | | 2 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 8 | 1 | |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
| | – | 5 | | |
| | | 2 | 0 | |
STEP 13: DIVIDE 20 : 5 = 4 with a remainder of 0
|
| | 0 | 8 | 1 | 4 |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
| | – | 5 | | |
| | | 2 | 0 | |
STEP 14: MULTIPLY 4 · 5 = 20
|
| | 0 | 8 | 1 | 4 |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
| | – | 5 | | |
| | | 2 | 0 | |
| | | 2 | 0 | |
STEP 15: SUBTRACT 20 - 20 = 0
|
| | 0 | 8 | 1 | 4 |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
| | – | 5 | | |
| | | 2 | 0 | |
| | – | 2 | 0 | |
| | | | 0 | |
STEP 15: SUBTRACT 20 - 20 = 0
|
| | 0 | 8 | 1 | 4 |
| 5 | 4 | 0 | 7 | 0 |
| – | 0 | | | |
| | 4 | 0 | | |
| – | 4 | 0 | | |
| | | 7 | | |
| | – | 5 | | |
| | | 2 | 0 | |
| | – | 2 | 0 | |
| | | | 0 | |
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