We're dividing 102655 by 34 
We're looking to find how many times 34 goes into 102655.

Moving on to step 1:
1 divided by 34 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
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

Step 2:
When dividing 10 by 34, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 34

Moving on to step 3:
The number 34 fits into 102 3 times, leaving a remainder of 0.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 102 from 102 to get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 34

Going ahead to step 4:
6 divided by 34 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 30.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 34

Step 5:
34 goes into 65 1 times with a remainder of 31.
The next digit of our result is 1. 
Result so far: 301.0
The remainder is 31 after subtracting 34 from 65.
Grab the next digit (5) from the dividend, add it to 31, then carry on: 315 / 34

Going ahead to step 6:
When dividing 315 by 34, we get 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 3019.0
If we subtract 306 from 315, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
34 can be fit into 90 2 times, resulting in a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 3019.2
Subtract 68 from 90 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 34 fits into 220 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 3019.26
Subtract 204 from 220 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
34 can be fit into 160 4 times, resulting in a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 3019.264
Deduct 136 from 160 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
When dividing 240 by 34, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 3019.2647
The remainder is 2 after subtracting 238 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
When dividing 20 by 34, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 3019.2647
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 3019.264705
Subtract 170 from 200 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
34 goes into 300 8 times with a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 3019.2647058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 14:
The number 34 fits into 280 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 3019.26470588
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.

In conclusion, the division gives 3019.26470588 with a balance of 8e-09.