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Question
What is the quotient and remainder when $ 1661 $ is divided by $ 4 $ ?
Answer
The quotient is 415 and the remainder is 1.
Explanation
|
Division Table
|
| | 0 | 4 | 1 | 5 |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
| | – | 4 | | |
| | | 2 | 1 | |
| | – | 2 | 0 | |
| | | | 1 | |
STEP 0: set up a division table
|
| | | | | |
| 4 | 1 | 6 | 6 | 1 |
STEP 1: DIVIDE 1 : 4 = 0 with a remainder of 1
|
| | 0 | | | |
| 4 | 1 | 6 | 6 | 1 |
STEP 2: MULTIPLY 0 · 4 = 0
|
| | 0 | | | |
| 4 | 1 | 6 | 6 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
STEP 5: DIVIDE 16 : 4 = 4 with a remainder of 0
|
| | 0 | 4 | | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
STEP 6: MULTIPLY 4 · 4 = 16
|
| | 0 | 4 | | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| | 1 | 6 | | |
STEP 7: SUBTRACT 16 - 16 = 0
|
| | 0 | 4 | | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 4 | | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
STEP 9: DIVIDE 6 : 4 = 1 with a remainder of 2
|
| | 0 | 4 | 1 | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
STEP 10: MULTIPLY 1 · 4 = 4
|
| | 0 | 4 | 1 | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
| | | 4 | | |
STEP 11: SUBTRACT 6 - 4 = 2
|
| | 0 | 4 | 1 | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
| | – | 4 | | |
| | | 2 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 4 | 1 | |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
| | – | 4 | | |
| | | 2 | 1 | |
STEP 13: DIVIDE 21 : 4 = 5 with a remainder of 1
|
| | 0 | 4 | 1 | 5 |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
| | – | 4 | | |
| | | 2 | 1 | |
STEP 14: MULTIPLY 5 · 4 = 20
|
| | 0 | 4 | 1 | 5 |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
| | – | 4 | | |
| | | 2 | 1 | |
| | | 2 | 0 | |
STEP 15: SUBTRACT 21 - 20 = 1
|
| | 0 | 4 | 1 | 5 |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
| | – | 4 | | |
| | | 2 | 1 | |
| | – | 2 | 0 | |
| | | | 1 | |
STEP 15: SUBTRACT 21 - 20 = 1
|
| | 0 | 4 | 1 | 5 |
| 4 | 1 | 6 | 6 | 1 |
| – | 0 | | | |
| | 1 | 6 | | |
| – | 1 | 6 | | |
| | | 6 | | |
| | – | 4 | | |
| | | 2 | 1 | |
| | – | 2 | 0 | |
| | | | 1 | |
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