257699 ÷ 38 
We want to figure out the number of times 257699 can be divided by 38.

Going ahead to step 1:
38 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 38

Advancing to step 2:
When dividing 25 by 38, we get 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
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 / 38

On to step 3:
The number 38 fits into 257 6 times, leaving a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 29 after subtracting 228 from 257.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 38

Going ahead to step 4:
If we divide 296 by 38, we get 7 and a remainder of 30.
Use 7 as the next digit of our solution. 
Result so far: 67.0
The remainder is 30 after subtracting 266 from 296.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 38

Moving on to step 5:
309 divided by 38 is 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 678.0
Deduct 304 from 309 and we're left with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 38

Moving on to step 6:
When dividing 59 by 38, we get 1 with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 6781.0
If we subtract 38 from 59, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
38 can be fit into 210 5 times, resulting in a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 6781.5
If we subtract 190 from 210, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
When dividing 200 by 38, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6781.55
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 6781.55 with a balance of 0.01.