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Question
What is the quotient and remainder when $ 968 $ is divided by $ 38 $ ?
Answer
The quotient is 25 and the remainder is 18.
Explanation
|
Division Table
|
| | | 0 | 2 | 5 |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 7 | 6 | |
| | | 2 | 0 | 8 |
| | – | 1 | 9 | 0 |
| | | | 1 | 8 |
STEP 0: set up a division table
|
| | | | | |
| 3 | 8 | 9 | 6 | 8 |
STEP 1: DIVIDE 9 : 38 = 0 with a remainder of 9
|
| | | 0 | | |
| 3 | 8 | 9 | 6 | 8 |
STEP 2: MULTIPLY 0 · 38 = 0
|
| | | 0 | | |
| 3 | 8 | 9 | 6 | 8 |
| | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
STEP 5: DIVIDE 96 : 38 = 2 with a remainder of 20
|
| | | 0 | 2 | |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
STEP 6: MULTIPLY 2 · 38 = 76
|
| | | 0 | 2 | |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
| | | 7 | 6 | |
STEP 7: SUBTRACT 96 - 76 = 20
|
| | | 0 | 2 | |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 7 | 6 | |
| | | 2 | 0 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 7 | 6 | |
| | | 2 | 0 | 8 |
STEP 9: DIVIDE 208 : 38 = 5 with a remainder of 18
|
| | | 0 | 2 | 5 |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 7 | 6 | |
| | | 2 | 0 | 8 |
STEP 10: MULTIPLY 5 · 38 = 190
|
| | | 0 | 2 | 5 |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 7 | 6 | |
| | | 2 | 0 | 8 |
| | | 1 | 9 | 0 |
STEP 11: SUBTRACT 208 - 190 = 18
|
| | | 0 | 2 | 5 |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 7 | 6 | |
| | | 2 | 0 | 8 |
| | – | 1 | 9 | 0 |
| | | | 1 | 8 |
STEP 11: SUBTRACT 208 - 190 = 18
|
| | | 0 | 2 | 5 |
| 3 | 8 | 9 | 6 | 8 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 7 | 6 | |
| | | 2 | 0 | 8 |
| | – | 1 | 9 | 0 |
| | | | 1 | 8 |
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