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Question
What is the quotient and remainder when $ 2434 $ is divided by $ 32 $ ?
Answer
The quotient is 76 and the remainder is 2.
Explanation
|
Division Table
|
| | | 0 | 0 | 7 | 6 |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
| | – | 2 | 2 | 4 | |
| | | | 1 | 9 | 4 |
| | | – | 1 | 9 | 2 |
| | | | | | 2 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
STEP 1: DIVIDE 2 : 32 = 0 with a remainder of 2
|
| | | 0 | | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
STEP 2: MULTIPLY 0 · 32 = 0
|
| | | 0 | | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
STEP 5: DIVIDE 24 : 32 = 0 with a remainder of 24
|
| | | 0 | 0 | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
STEP 6: MULTIPLY 0 · 32 = 0
|
| | | 0 | 0 | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 24 - 0 = 24
|
| | | 0 | 0 | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
STEP 9: DIVIDE 243 : 32 = 7 with a remainder of 19
|
| | | 0 | 0 | 7 | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
STEP 10: MULTIPLY 7 · 32 = 224
|
| | | 0 | 0 | 7 | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
| | | 2 | 2 | 4 | |
STEP 11: SUBTRACT 243 - 224 = 19
|
| | | 0 | 0 | 7 | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
| | – | 2 | 2 | 4 | |
| | | | 1 | 9 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 7 | |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
| | – | 2 | 2 | 4 | |
| | | | 1 | 9 | 4 |
STEP 13: DIVIDE 194 : 32 = 6 with a remainder of 2
|
| | | 0 | 0 | 7 | 6 |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
| | – | 2 | 2 | 4 | |
| | | | 1 | 9 | 4 |
STEP 14: MULTIPLY 6 · 32 = 192
|
| | | 0 | 0 | 7 | 6 |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
| | – | 2 | 2 | 4 | |
| | | | 1 | 9 | 4 |
| | | | 1 | 9 | 2 |
STEP 15: SUBTRACT 194 - 192 = 2
|
| | | 0 | 0 | 7 | 6 |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
| | – | 2 | 2 | 4 | |
| | | | 1 | 9 | 4 |
| | | – | 1 | 9 | 2 |
| | | | | | 2 |
STEP 15: SUBTRACT 194 - 192 = 2
|
| | | 0 | 0 | 7 | 6 |
| 3 | 2 | 2 | 4 | 3 | 4 |
| | – | 0 | | | |
| | | 2 | 4 | | |
| | | – | 0 | | |
| | | 2 | 4 | 3 | |
| | – | 2 | 2 | 4 | |
| | | | 1 | 9 | 4 |
| | | – | 1 | 9 | 2 |
| | | | | | 2 |
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