171080 ÷ 61 
We want to figure out the number of times 171080 can be divided by 61.

On to step 1:
When dividing 1 by 61, we get 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.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 61

Let's proceed to step 2:
17 divided by 61 is 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 61

Step 3:
If we divide 171 by 61, we get 2 and a remainder of 49.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 122 away from 171, we end up with 49.
Fetch the next digit (0) from the dividend, attach it to 49 and continue: 490 / 61

Advancing to step 4:
61 can be fit into 490 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 28.0
If we take 488 away from 490, we end up with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 61

On to step 5:
61 goes into 28 0 times with a remainder of 28.
The number 0 becomes the next digit in our result. 
Result so far: 280.0
If we subtract 0 from 28, we get 28.
Grab the next digit (0) from the dividend, add it to 28, then carry on: 280 / 61

Advancing to step 6:
61 goes into 280 4 times with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 2804.0
The remainder is 36 after subtracting 244 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
When dividing 360 by 61, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 2804.5
Deduct 305 from 360 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
When dividing 550 by 61, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 2804.59
If we subtract 549 from 550, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
If we divide 10 by 61, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 2804.59
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
When dividing 100 by 61, we get 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 2804.5901
The remainder is 39 after subtracting 61 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 11:
61 goes into 390 6 times with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 2804.59016
Subtract 366 from 390 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
When dividing 240 by 61, we get 3 with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 2804.590163
If we subtract 183 from 240, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 13:
61 goes into 570 9 times with a remainder of 21.
The next digit of our result is 9. 
Result so far: 2804.5901639
Deduct 549 from 570 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 14:
61 goes into 210 3 times with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 2804.59016393
The remainder is 27 after subtracting 183 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 2804.59016393 and a remainder of 2.7e-08.