Let's divide 359102 by 34
Our goal is to divide 359102 by 34.

Let's proceed to step 1:
When dividing 3 by 34, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 34

Advancing to step 2:
When dividing 35 by 34, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 1 after subtracting 34 from 35.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 34

Moving on to step 3:
19 divided by 34 is 0 with a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 19 after subtracting 0 from 19.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 34

Advancing to step 4:
34 goes into 191 5 times with a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
Subtracting 170 from 191 leaves us with 21.
Take the next digit (0) from the dividend and append it to 21, then repeat: 210 / 34

Let's proceed to step 5:
When dividing 210 by 34, we get 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 1056.0
Subtracting 204 from 210 leaves us with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 34

Advancing to step 6:
If we divide 62 by 34, we get 1 and a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 10561.0
Deduct 34 from 62 and we're left with 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 7:
34 goes into 280 8 times with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 10561.8
Deduct 272 from 280 and we're left 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.

Moving on to step 8:
When dividing 80 by 34, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 10561.82
Subtract 68 from 80 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
120 divided by 34 is 3 with a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 10561.823
Deduct 102 from 120 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
180 divided by 34 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 10561.8235
Subtract 170 from 180 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
100 divided by 34 is 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 10561.82352
Deduct 68 from 100 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
If we divide 320 by 34, we get 9 and a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 10561.823529
Subtracting 306 from 320 leaves us 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.

Advancing to step 13:
34 can be fit into 140 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 10561.8235294
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
When dividing 40 by 34, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 10561.82352941
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 10561.82352941, with a leftover of 6e-09.