We look at the division of 100961 by 17 
We're looking to find how many times 17 goes into 100961.

Going ahead to step 1:
When dividing 1 by 17, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 17

Moving on to step 2:
When dividing 10 by 17, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 17

Advancing to step 3:
100 divided by 17 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 85 from 100 and we're left with 15.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 17

Advancing to step 4:
159 divided by 17 is 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 59.0
The remainder is 6 after subtracting 153 from 159.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 17

Let's proceed to step 5:
17 can be fit into 66 3 times, resulting in a remainder of 15.
The next digit of our result is 3. 
Result so far: 593.0
Deduct 51 from 66 and we're left with 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 17

Going ahead to step 6:
17 goes into 151 8 times with a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 5938.0
Deduct 136 from 151 and we're left 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 7:
If we divide 150 by 17, we get 8 and a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 5938.8
Deduct 136 from 150 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
17 can be fit into 140 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5938.88
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 5938.88, and the remainder is 0.004.