We're dividing 125954 by 17 
Our goal is to divide 125954 by 17.

On to step 1:
When dividing 1 by 17, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 17

Step 2:
If we divide 12 by 17, we get 0 and a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 17

On to step 3:
If we divide 125 by 17, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 119 away from 125, we end up with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 17

Advancing to step 4:
When dividing 69 by 17, we get 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 74.0
Subtract 68 from 69 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 17

Going ahead to step 5:
If we divide 15 by 17, we get 0 and a remainder of 15.
The next digit of our result is 0. 
Result so far: 740.0
Subtracting 0 from 15 leaves us with 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 17

Advancing to step 6:
154 divided by 17 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 7409.0
Deduct 153 from 154 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 17 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7409.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 17 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 7409.05
Subtracting 85 from 100 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
17 goes into 150 8 times with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 7409.058
The remainder is 14 after subtracting 136 from 150.
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 10:
17 goes into 140 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 7409.0588
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 7409.0588 with a remaining 4e-05.