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Question
What is the quotient and remainder when $ 8158 $ is divided by $ 4 $ ?
Answer
The quotient is 2039 and the remainder is 2.
Explanation
|
Division Table
|
| | 2 | 0 | 3 | 9 |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
| – | 1 | 2 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | |
STEP 0: set up a division table
|
| | | | | |
| 4 | 8 | 1 | 5 | 8 |
STEP 1: DIVIDE 8 : 4 = 2 with a remainder of 0
|
| | 2 | | | |
| 4 | 8 | 1 | 5 | 8 |
STEP 2: MULTIPLY 2 · 4 = 8
|
| | 2 | | | |
| 4 | 8 | 1 | 5 | 8 |
| | 8 | | | |
STEP 3: SUBTRACT 8 - 8 = 0
|
| | 2 | | | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 0 | | | |
|
STEP 4: BRING DOWN
|
| | 2 | | | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
STEP 5: DIVIDE 1 : 4 = 0 with a remainder of 1
|
| | 2 | 0 | | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
STEP 6: MULTIPLY 0 · 4 = 0
|
| | 2 | 0 | | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| | 0 | | | |
STEP 7: SUBTRACT 1 - 0 = 1
|
| | 2 | 0 | | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | | | |
|
STEP 8: BRING DOWN
|
| | 2 | 0 | | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
STEP 9: DIVIDE 15 : 4 = 3 with a remainder of 3
|
| | 2 | 0 | 3 | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
STEP 10: MULTIPLY 3 · 4 = 12
|
| | 2 | 0 | 3 | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
| | 1 | 2 | | |
STEP 11: SUBTRACT 15 - 12 = 3
|
| | 2 | 0 | 3 | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
| – | 1 | 2 | | |
| | | 3 | | |
|
STEP 12: BRING DOWN
|
| | 2 | 0 | 3 | |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
| – | 1 | 2 | | |
| | | 3 | 8 | |
STEP 13: DIVIDE 38 : 4 = 9 with a remainder of 2
|
| | 2 | 0 | 3 | 9 |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
| – | 1 | 2 | | |
| | | 3 | 8 | |
STEP 14: MULTIPLY 9 · 4 = 36
|
| | 2 | 0 | 3 | 9 |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
| – | 1 | 2 | | |
| | | 3 | 8 | |
| | | 3 | 6 | |
STEP 15: SUBTRACT 38 - 36 = 2
|
| | 2 | 0 | 3 | 9 |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
| – | 1 | 2 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | |
STEP 15: SUBTRACT 38 - 36 = 2
|
| | 2 | 0 | 3 | 9 |
| 4 | 8 | 1 | 5 | 8 |
| – | 8 | | | |
| | 1 | | | |
| – | 0 | | | |
| | 1 | 5 | | |
| – | 1 | 2 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | |
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