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Question
What is the quotient and remainder when $ 5066 $ is divided by $ 4 $ ?
Answer
The quotient is 1266 and the remainder is 2.
Explanation
|
Division Table
|
| | 1 | 2 | 6 | 6 |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
| | – | 2 | 4 | |
| | | | 2 | 6 |
| | | – | 2 | 4 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 5 | 0 | 6 | 6 |
STEP 1: DIVIDE 5 : 4 = 1 with a remainder of 1
|
| | 1 | | | |
| 4 | 5 | 0 | 6 | 6 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| | 1 | | | |
| 4 | 5 | 0 | 6 | 6 |
| | 4 | | | |
STEP 3: SUBTRACT 5 - 4 = 1
|
| | 1 | | | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
STEP 5: DIVIDE 10 : 4 = 2 with a remainder of 2
|
| | 1 | 2 | | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
STEP 6: MULTIPLY 2 · 4 = 8
|
| | 1 | 2 | | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | | 8 | | |
STEP 7: SUBTRACT 10 - 8 = 2
|
| | 1 | 2 | | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 2 | | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
STEP 9: DIVIDE 26 : 4 = 6 with a remainder of 2
|
| | 1 | 2 | 6 | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
STEP 10: MULTIPLY 6 · 4 = 24
|
| | 1 | 2 | 6 | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
| | | 2 | 4 | |
STEP 11: SUBTRACT 26 - 24 = 2
|
| | 1 | 2 | 6 | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
| | – | 2 | 4 | |
| | | | 2 | |
|
STEP 12: BRING DOWN
|
| | 1 | 2 | 6 | |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
| | – | 2 | 4 | |
| | | | 2 | 6 |
STEP 13: DIVIDE 26 : 4 = 6 with a remainder of 2
|
| | 1 | 2 | 6 | 6 |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
| | – | 2 | 4 | |
| | | | 2 | 6 |
STEP 14: MULTIPLY 6 · 4 = 24
|
| | 1 | 2 | 6 | 6 |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
| | – | 2 | 4 | |
| | | | 2 | 6 |
| | | | 2 | 4 |
STEP 15: SUBTRACT 26 - 24 = 2
|
| | 1 | 2 | 6 | 6 |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
| | – | 2 | 4 | |
| | | | 2 | 6 |
| | | – | 2 | 4 |
| | | | | 2 |
STEP 15: SUBTRACT 26 - 24 = 2
|
| | 1 | 2 | 6 | 6 |
| 4 | 5 | 0 | 6 | 6 |
| – | 4 | | | |
| | 1 | 0 | | |
| | – | 8 | | |
| | | 2 | 6 | |
| | – | 2 | 4 | |
| | | | 2 | 6 |
| | | – | 2 | 4 |
| | | | | 2 |
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