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Question
What is the quotient and remainder when $ 2152 $ is divided by $ 16 $ ?
Answer
The quotient is 134 and the remainder is 8.
Explanation
|
Division Table
|
| | | 0 | 1 | 3 | 4 |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
| | | – | 4 | 8 | |
| | | | | 7 | 2 |
| | | | – | 6 | 4 |
| | | | | | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
STEP 1: DIVIDE 2 : 16 = 0 with a remainder of 2
|
| | | 0 | | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | | 0 | | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
STEP 5: DIVIDE 21 : 16 = 1 with a remainder of 5
|
| | | 0 | 1 | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
STEP 6: MULTIPLY 1 · 16 = 16
|
| | | 0 | 1 | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | | 1 | 6 | | |
STEP 7: SUBTRACT 21 - 16 = 5
|
| | | 0 | 1 | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
STEP 9: DIVIDE 55 : 16 = 3 with a remainder of 7
|
| | | 0 | 1 | 3 | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
STEP 10: MULTIPLY 3 · 16 = 48
|
| | | 0 | 1 | 3 | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
| | | | 4 | 8 | |
STEP 11: SUBTRACT 55 - 48 = 7
|
| | | 0 | 1 | 3 | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
| | | – | 4 | 8 | |
| | | | | 7 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 3 | |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
| | | – | 4 | 8 | |
| | | | | 7 | 2 |
STEP 13: DIVIDE 72 : 16 = 4 with a remainder of 8
|
| | | 0 | 1 | 3 | 4 |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
| | | – | 4 | 8 | |
| | | | | 7 | 2 |
STEP 14: MULTIPLY 4 · 16 = 64
|
| | | 0 | 1 | 3 | 4 |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
| | | – | 4 | 8 | |
| | | | | 7 | 2 |
| | | | | 6 | 4 |
STEP 15: SUBTRACT 72 - 64 = 8
|
| | | 0 | 1 | 3 | 4 |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
| | | – | 4 | 8 | |
| | | | | 7 | 2 |
| | | | – | 6 | 4 |
| | | | | | 8 |
STEP 15: SUBTRACT 72 - 64 = 8
|
| | | 0 | 1 | 3 | 4 |
| 1 | 6 | 2 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 2 | 1 | | |
| | – | 1 | 6 | | |
| | | | 5 | 5 | |
| | | – | 4 | 8 | |
| | | | | 7 | 2 |
| | | | – | 6 | 4 |
| | | | | | 8 |
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