Let's divide 105039 by 61
We want to figure out the number of times 105039 can be divided by 61.

On to step 1:
1 divided by 61 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 61

Going ahead to step 2:
61 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 61

Going ahead to step 3:
The number 61 fits into 105 1 times, leaving a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 61 away from 105, we end up with 44.
Fetch the next digit (0) from the dividend, attach it to 44 and continue: 440 / 61

Advancing to step 4:
440 divided by 61 is 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 17.0
Deduct 427 from 440 and we're left with 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 61

Advancing to step 5:
When dividing 133 by 61, we get 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 172.0
Subtracting 122 from 133 leaves us with 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 61

On to step 6:
When dividing 119 by 61, we get 1 with a remainder of 58.
Use 1 as the next digit of our solution. 
Result so far: 1721.0
Subtract 61 from 119 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 7:
The number 61 fits into 580 9 times, leaving a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 1721.9
If we subtract 549 from 580, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 8:
When dividing 310 by 61, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1721.95
Subtract 305 from 310 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
61 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1721.95
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
61 can be fit into 500 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 1721.9508
Subtract 488 from 500 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
61 goes into 120 1 times with a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 1721.95081
Deduct 61 from 120 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.

Moving on to step 12:
61 can be fit into 590 9 times, resulting in a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 1721.950819
If we subtract 549 from 590, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 13:
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: 1721.9508196
If we take 366 away from 410, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 14:
If we divide 440 by 61, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 1721.95081967
Subtracting 427 from 440 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 1721.95081967 with a remainder of 1.3e-08.