Let's divide 341957 by 17
We want to figure out the number of times 341957 can be divided by 17.

Step 1:
3 divided by 17 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 17

Step 2:
The number 17 fits into 34 2 times, leaving a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 34 from 34, we get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 17

Let's proceed to step 3:
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: 20.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 17

Advancing to step 4:
When dividing 19 by 17, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 201.0
The remainder is 2 after subtracting 17 from 19.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 17

Moving on to step 5:
If we divide 25 by 17, we get 1 and a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 2011.0
Subtract 17 from 25 to get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 17

Moving on to step 6:
87 divided by 17 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 20115.0
Subtract 85 from 87 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
17 goes into 20 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 20115.1
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
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: 20115.11
Subtract 17 from 30 to get 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 20115.11, and the remainder is 0.013.