We look at the division of 903729 by 61 
We're looking to find how many times 61 goes into 903729.

Advancing to step 1:
9 divided by 61 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 61

Advancing to step 2:
When dividing 90 by 61, we get 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 29 after subtracting 61 from 90.
Include the next digit (3) from the dividend after 29, then repeat: 293 / 61

Step 3:
When dividing 293 by 61, we get 4 with a remainder of 49.
The next digit of our result is 4. 
Result so far: 14.0
Deduct 244 from 293 and we're left with 49.
Fetch the next digit (7) from the dividend, attach it to 49 and continue: 497 / 61

Moving on to step 4:
497 divided by 61 is 8 with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 148.0
If we take 488 away from 497, we end up with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 61

Moving on to step 5:
When dividing 92 by 61, we get 1 with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 1481.0
If we subtract 61 from 92, we get 31.
Append the next digit (9) from the dividend to 31 and continue with: 319 / 61

On to step 6:
The number 61 fits into 319 5 times, leaving a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 14815.0
The remainder is 14 after subtracting 305 from 319.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
140 divided by 61 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 14815.2
If we take 122 away from 140, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
If we divide 180 by 61, we get 2 and a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 14815.22
Deduct 122 from 180 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The final result is 14815.22 with a remainder of 0.058.