Let's divide 25767 by 34
Our goal is to divide 25767 by 34.

Advancing to step 1:
2 divided by 34 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 34

On to step 2:
The number 34 fits into 25 0 times, leaving a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 34

Let's proceed to step 3:
34 can be fit into 257 7 times, resulting in a remainder of 19.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 238 from 257 and we're left with 19.
Include the next digit (6) from the dividend after 19, then repeat: 196 / 34

Step 4:
34 goes into 196 5 times with a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
If we take 170 away from 196, we end up with 26.
Include the next digit (7) from the dividend after 26, then repeat: 267 / 34

Step 5:
When dividing 267 by 34, we get 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 757.0
If we take 238 away from 267, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 6:
When dividing 290 by 34, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 757.8
If we subtract 272 from 290, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
180 divided by 34 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 757.85
The remainder is 10 after subtracting 170 from 180.
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 8:
If we divide 100 by 34, we get 2 and a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 757.852
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
34 can be fit into 320 9 times, resulting in a remainder of 14.
The next digit of our result is 9. 
Result so far: 757.8529
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.

Step 10:
When dividing 140 by 34, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 757.85294
Subtract 136 from 140 to 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.

Moving on to step 11:
If we divide 40 by 34, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 757.852941
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
If we divide 60 by 34, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 757.8529411
Subtracting 34 from 60 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 757.8529411 with a remainder of 2.6e-07.