We look at the division of 107001 by 34 
Let's see how many times 34 fits into 107001.

Advancing to step 1:
34 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 34

On to step 2:
If we divide 10 by 34, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 34

On to step 3:
The number 34 fits into 107 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 102 from 107 to get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 34

Step 4:
The number 34 fits into 50 1 times, leaving a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 31.0
The remainder is 16 after subtracting 34 from 50.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 34

Advancing to step 5:
34 goes into 160 4 times with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 314.0
Subtracting 136 from 160 leaves us with 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 34

Advancing to step 6:
34 can be fit into 241 7 times, resulting in a remainder of 3.
The next digit of our result is 7. 
Result so far: 3147.0
If we take 238 away from 241, 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.

Advancing to step 7:
When dividing 30 by 34, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 3147.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
If we divide 300 by 34, we get 8 and a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 3147.08
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
The number 34 fits into 280 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 3147.088
If we take 272 away from 280, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 3147.088 with a remaining 0.0008.