We divide 171164 by 61
Our goal is to divide 171164 by 61.

On to step 1:
1 divided by 61 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 61

Step 2:
The number 61 fits into 17 0 times, leaving a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 61

Step 3:
61 goes into 171 2 times with a remainder of 49.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 122 from 171 and we're left with 49.
Fetch the next digit (1) from the dividend, attach it to 49 and continue: 491 / 61

Step 4:
61 goes into 491 8 times with a remainder of 3.
The next digit of our result is 8. 
Result so far: 28.0
The remainder is 3 after subtracting 488 from 491.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 61

Going ahead to step 5:
When dividing 36 by 61, we get 0 with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 280.0
Subtracting 0 from 36 leaves us with 36.
Include the next digit (4) from the dividend after 36, then repeat: 364 / 61

Step 6:
364 divided by 61 is 5 with a remainder of 59.
Use 5 as the next digit of our solution. 
Result so far: 2805.0
Deduct 305 from 364 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 7:
590 divided by 61 is 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 2805.9
Deduct 549 from 590 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 8:
410 divided by 61 is 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 2805.96
If we subtract 366 from 410, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
When dividing 440 by 61, we get 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 2805.967
Subtract 427 from 440 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
61 can be fit into 130 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2805.9672
Subtract 122 from 130 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
When dividing 80 by 61, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 2805.96721
If we subtract 61 from 80, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 12:
When dividing 190 by 61, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 2805.967213
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
When dividing 70 by 61, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 2805.9672131
If we subtract 61 from 70, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
90 divided by 61 is 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 2805.96721311
Subtract 61 from 90 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The quotient of the division is 2805.96721311, and the remainder is 2.9e-08.