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Question
What is the quotient and remainder when $ 4786 $ is divided by $ 25 $ ?
Answer
The quotient is 191 and the remainder is 11.
Explanation
|
Division Table
|
| | | 0 | 1 | 9 | 1 |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
| | – | 2 | 2 | 5 | |
| | | | | 3 | 6 |
| | | | – | 2 | 5 |
| | | | | 1 | 1 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
STEP 1: DIVIDE 4 : 25 = 0 with a remainder of 4
|
| | | 0 | | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
STEP 2: MULTIPLY 0 · 25 = 0
|
| | | 0 | | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
STEP 5: DIVIDE 47 : 25 = 1 with a remainder of 22
|
| | | 0 | 1 | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
STEP 6: MULTIPLY 1 · 25 = 25
|
| | | 0 | 1 | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | 2 | 5 | | |
STEP 7: SUBTRACT 47 - 25 = 22
|
| | | 0 | 1 | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
STEP 9: DIVIDE 228 : 25 = 9 with a remainder of 3
|
| | | 0 | 1 | 9 | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
STEP 10: MULTIPLY 9 · 25 = 225
|
| | | 0 | 1 | 9 | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
| | | 2 | 2 | 5 | |
STEP 11: SUBTRACT 228 - 225 = 3
|
| | | 0 | 1 | 9 | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
| | – | 2 | 2 | 5 | |
| | | | | 3 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 9 | |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
| | – | 2 | 2 | 5 | |
| | | | | 3 | 6 |
STEP 13: DIVIDE 36 : 25 = 1 with a remainder of 11
|
| | | 0 | 1 | 9 | 1 |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
| | – | 2 | 2 | 5 | |
| | | | | 3 | 6 |
STEP 14: MULTIPLY 1 · 25 = 25
|
| | | 0 | 1 | 9 | 1 |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
| | – | 2 | 2 | 5 | |
| | | | | 3 | 6 |
| | | | | 2 | 5 |
STEP 15: SUBTRACT 36 - 25 = 11
|
| | | 0 | 1 | 9 | 1 |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
| | – | 2 | 2 | 5 | |
| | | | | 3 | 6 |
| | | | – | 2 | 5 |
| | | | | 1 | 1 |
STEP 15: SUBTRACT 36 - 25 = 11
|
| | | 0 | 1 | 9 | 1 |
| 2 | 5 | 4 | 7 | 8 | 6 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | – | 2 | 5 | | |
| | | 2 | 2 | 8 | |
| | – | 2 | 2 | 5 | |
| | | | | 3 | 6 |
| | | | – | 2 | 5 |
| | | | | 1 | 1 |
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