We divide 127417 by 90
We want to figure out the number of times 127417 can be divided by 90.

Advancing to step 1:
1 divided by 90 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 90

Advancing to step 2:
90 goes into 12 0 times with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 90

On to step 3:
127 divided by 90 is 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 90 from 127 to get 37.
Bring next digit (4) of the dividend behind the 37 and repeat the process: 374 / 90

Going ahead to step 4:
90 goes into 374 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 14.0
The remainder is 14 after subtracting 360 from 374.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 90

Going ahead to step 5:
141 divided by 90 is 1 with a remainder of 51.
The next digit of our result is 1. 
Result so far: 141.0
The remainder is 51 after subtracting 90 from 141.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 90

Moving on to step 6:
The number 90 fits into 517 5 times, leaving a remainder of 67.
Write down 5 as next digit of the result. 
Result so far: 1415.0
Subtracting 450 from 517 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 7:
When dividing 670 by 90, we get 7 with a remainder of 40.
The next digit of our result is 7. 
Result so far: 1415.7
If we take 630 away from 670, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
When dividing 400 by 90, we get 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 1415.74
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
The number 90 fits into 400 4 times, leaving a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 1415.744
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 1415.744 with a balance of 0.004.