We look at the division of 381725 by 17 
We're looking to find how many times 17 goes into 381725.

Going ahead to step 1:
17 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 17

On to step 2:
When dividing 38 by 17, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 34 from 38 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 17

Moving on to step 3:
17 goes into 41 2 times with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Deduct 34 from 41 and we're left with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 17

Step 4:
17 goes into 77 4 times with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 224.0
If we subtract 68 from 77, we get 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 17

Moving on to step 5:
17 can be fit into 92 5 times, resulting in a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 2245.0
Deduct 85 from 92 and we're left with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 17

Step 6:
17 goes into 75 4 times with a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 22454.0
The remainder is 7 after subtracting 68 from 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
The number 17 fits into 70 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 22454.4
Deduct 68 from 70 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
If we divide 20 by 17, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 22454.41
If we take 17 away from 20, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
When dividing 30 by 17, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 22454.411
If we take 17 away from 30, we end up 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 quotient of the division is 22454.411, and the remainder is 0.0013.