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What is the quotient and remainder when $ 5594 $ is divided by $ 17 $ ?
Answer
The quotient is 329 and the remainder is 1.
Explanation
|
Division Table
|
| | | 0 | 3 | 2 | 9 |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
| | | – | 3 | 4 | |
| | | | 1 | 5 | 4 |
| | | – | 1 | 5 | 3 |
| | | | | | 1 |
STEP 0:
set up a division table
|
| | | | | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
STEP 1: DIVIDE
5 : 17 = 0 with a remainder of 5
|
| | | 0 | | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
STEP 2: MULTIPLY
0 · 17 = 0
|
| | | 0 | | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT
5 - 0 = 5
|
| | | 0 | | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
STEP 5: DIVIDE
55 : 17 = 3 with a remainder of 4
|
| | | 0 | 3 | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
STEP 6: MULTIPLY
3 · 17 = 51
|
| | | 0 | 3 | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | | 5 | 1 | | |
STEP 7: SUBTRACT
55 - 51 = 4
|
| | | 0 | 3 | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
STEP 9: DIVIDE
49 : 17 = 2 with a remainder of 15
|
| | | 0 | 3 | 2 | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
STEP 10: MULTIPLY
2 · 17 = 34
|
| | | 0 | 3 | 2 | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
| | | | 3 | 4 | |
STEP 11: SUBTRACT
49 - 34 = 15
|
| | | 0 | 3 | 2 | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
| | | – | 3 | 4 | |
| | | | 1 | 5 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 3 | 2 | |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
| | | – | 3 | 4 | |
| | | | 1 | 5 | 4 |
STEP 13: DIVIDE
154 : 17 = 9 with a remainder of 1
|
| | | 0 | 3 | 2 | 9 |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
| | | – | 3 | 4 | |
| | | | 1 | 5 | 4 |
STEP 14: MULTIPLY
9 · 17 = 153
|
| | | 0 | 3 | 2 | 9 |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
| | | – | 3 | 4 | |
| | | | 1 | 5 | 4 |
| | | | 1 | 5 | 3 |
STEP 15: SUBTRACT
154 - 153 = 1
|
| | | 0 | 3 | 2 | 9 |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
| | | – | 3 | 4 | |
| | | | 1 | 5 | 4 |
| | | – | 1 | 5 | 3 |
| | | | | | 1 |
STEP 15: SUBTRACT
154 - 153 = 1
|
| | | 0 | 3 | 2 | 9 |
| 1 | 7 | 5 | 5 | 9 | 4 |
| | – | 0 | | | |
| | | 5 | 5 | | |
| | – | 5 | 1 | | |
| | | | 4 | 9 | |
| | | – | 3 | 4 | |
| | | | 1 | 5 | 4 |
| | | – | 1 | 5 | 3 |
| | | | | | 1 |
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