We look at the division of 257374 by 68 
Our goal is to divide 257374 by 68.

Step 1:
68 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 68

Step 2:
The number 68 fits into 25 0 times, leaving a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 68

On to step 3:
68 goes into 257 3 times with a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 204 away from 257, we end up with 53.
Append the next digit (3) from the dividend to 53 and continue with: 533 / 68

Step 4:
68 can be fit into 533 7 times, resulting in a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Subtracting 476 from 533 leaves us with 57.
Fetch the next digit (7) from the dividend, attach it to 57 and continue: 577 / 68

Advancing to step 5:
The number 68 fits into 577 8 times, leaving a remainder of 33.
Record the quotient 8 as the next digit in the result. 
Result so far: 378.0
If we take 544 away from 577, we end up with 33.
Include the next digit (4) from the dividend after 33, then repeat: 334 / 68

Step 6:
When dividing 334 by 68, we get 4 with a remainder of 62.
Record the quotient 4 as the next digit in the result. 
Result so far: 3784.0
If we take 272 away from 334, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 7:
If we divide 620 by 68, we get 9 and a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 3784.9
If we subtract 612 from 620, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
If we divide 80 by 68, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 3784.91
Deduct 68 from 80 and we're left 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 9:
120 divided by 68 is 1 with a remainder of 52.
Record the quotient 1 as the next digit in the result. 
Result so far: 3784.911
Subtract 68 from 120 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 3784.911 and a remainder of 0.0052.