We're dividing 126172 by 17 
We want to figure out the number of times 126172 can be divided by 17.

Let's proceed to step 1:
When dividing 1 by 17, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 17

Advancing to step 2:
17 can be fit into 12 0 times, resulting in a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 17

Advancing to step 3:
When dividing 126 by 17, we get 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 119 from 126 to get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 17

Let's proceed to step 4:
71 divided by 17 is 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 74.0
The remainder is 3 after subtracting 68 from 71.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 17

Let's proceed to step 5:
17 can be fit into 37 2 times, resulting in a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 742.0
Deduct 34 from 37 and we're left with 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 17

On to step 6:
When dividing 32 by 17, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 7421.0
If we take 17 away from 32, we end up 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.

On to step 7:
When dividing 150 by 17, we get 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 7421.8
If we subtract 136 from 150, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
If we divide 140 by 17, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 7421.88
Subtracting 136 from 140 leaves us 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.

After the division, we end up with 7421.88 and a remainder of 0.004.