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Question
What is the quotient and remainder when $ 50626 $ is divided by $ 5 $ ?
Answer
The quotient is 10125 and the remainder is 1.
Explanation
|
Division Table
|
| | 1 | 0 | 1 | 2 | 5 |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
| – | 1 | 0 | | | |
| | | 2 | 6 | | |
| | – | 2 | 5 | | |
| | | | 1 | | |
STEP 0: set up a division table
|
| | | | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
STEP 1: DIVIDE 5 : 5 = 1 with a remainder of 0
|
| | 1 | | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
STEP 2: MULTIPLY 1 · 5 = 5
|
| | 1 | | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| | 5 | | | | |
STEP 3: SUBTRACT 5 - 5 = 0
|
| | 1 | | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
STEP 5: DIVIDE 0 : 5 = 0 with a remainder of 0
|
| | 1 | 0 | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
STEP 6: MULTIPLY 0 · 5 = 0
|
| | 1 | 0 | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| | 0 | | | | |
STEP 7: SUBTRACT 0 - 0 = 0
|
| | 1 | 0 | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 0 | | | | |
|
STEP 8: BRING DOWN
|
| | 1 | 0 | | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
STEP 9: DIVIDE 6 : 5 = 1 with a remainder of 1
|
| | 1 | 0 | 1 | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
STEP 10: MULTIPLY 1 · 5 = 5
|
| | 1 | 0 | 1 | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| | 5 | | | | |
STEP 11: SUBTRACT 6 - 5 = 1
|
| | 1 | 0 | 1 | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | | | | |
|
STEP 12: BRING DOWN
|
| | 1 | 0 | 1 | | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
STEP 13: DIVIDE 12 : 5 = 2 with a remainder of 2
|
| | 1 | 0 | 1 | 2 | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
STEP 14: MULTIPLY 2 · 5 = 10
|
| | 1 | 0 | 1 | 2 | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
| | 1 | 0 | | | |
STEP 15: SUBTRACT 12 - 10 = 2
|
| | 1 | 0 | 1 | 2 | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
| – | 1 | 0 | | | |
| | | 2 | | | |
|
STEP 16: BRING DOWN
|
| | 1 | 0 | 1 | 2 | |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
| – | 1 | 0 | | | |
| | | 2 | 6 | | |
STEP 17: DIVIDE 26 : 5 = 5 with a remainder of 1
|
| | 1 | 0 | 1 | 2 | 5 |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
| – | 1 | 0 | | | |
| | | 2 | 6 | | |
STEP 18: MULTIPLY 5 · 5 = 25
|
| | 1 | 0 | 1 | 2 | 5 |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
| – | 1 | 0 | | | |
| | | 2 | 6 | | |
| | | 2 | 5 | | |
STEP 19: SUBTRACT 26 - 25 = 1
|
| | 1 | 0 | 1 | 2 | 5 |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
| – | 1 | 0 | | | |
| | | 2 | 6 | | |
| | – | 2 | 5 | | |
| | | | 1 | | |
STEP 19: SUBTRACT 26 - 25 = 1
|
| | 1 | 0 | 1 | 2 | 5 |
| 5 | 5 | 0 | 6 | 2 | 6 |
| – | 5 | | | | |
| | 0 | | | | |
| – | 0 | | | | |
| | 6 | | | | |
| – | 5 | | | | |
| | 1 | 2 | | | |
| – | 1 | 0 | | | |
| | | 2 | 6 | | |
| | – | 2 | 5 | | |
| | | | 1 | | |
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