We're dividing 6128 by 34 
We're looking to find how many times 34 goes into 6128.

Let's proceed to step 1:
When dividing 6 by 34, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 34

Advancing to step 2:
34 goes into 61 1 times with a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 34 from 61 and we're left with 27.
Fetch the next digit (2) from the dividend, attach it to 27 and continue: 272 / 34

Going ahead to step 3:
34 goes into 272 8 times with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 0 after subtracting 272 from 272.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 34

Advancing to step 4:
34 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 180.0
The remainder is 8 after subtracting 0 from 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 5:
The number 34 fits into 80 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 180.2
If we take 68 away from 80, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 6:
34 can be fit into 120 3 times, resulting in a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 180.23
Subtracting 102 from 120 leaves us 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.

Going ahead to step 7:
The number 34 fits into 180 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 180.235
Subtracting 170 from 180 leaves us 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.

Step 8:
34 goes into 100 2 times with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 180.2352
If we subtract 68 from 100, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
320 divided by 34 is 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 180.23529
Subtract 306 from 320 to 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:
If we divide 140 by 34, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 180.235294
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.

Let's proceed to step 11:
40 divided by 34 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 180.2352941
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
When dividing 60 by 34, we get 1 with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 180.23529411
If we subtract 34 from 60, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 180.23529411 and a remainder of 2.6e-08.