635971 ÷ 17 
We want to divide 635971 by 17.

Step 1:
When dividing 6 by 17, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 17

Advancing to step 2:
17 goes into 63 3 times with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 51 from 63 to get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 17

Let's proceed to step 3:
When dividing 125 by 17, we get 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
If we take 119 away from 125, we end up with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 17

On to step 4:
17 goes into 69 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 374.0
If we take 68 away from 69, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 17

Moving on to step 5:
17 goes into 17 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 3741.0
If we take 17 away from 17, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 17

Let's proceed to step 6:
The number 17 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 37410.0
Deduct 0 from 1 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.

Step 7:
17 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 37410.0
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.

Advancing to step 8:
100 divided by 17 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 37410.05
If we take 85 away from 100, 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.

Moving on to step 9:
17 goes into 150 8 times with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 37410.058
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.

Let's proceed to step 10:
17 goes into 140 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 37410.0588
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 37410.0588, with a leftover of 4e-05.