We divide 257081 by 74
Let's see how many times 74 fits into 257081.

Going ahead to step 1:
The number 74 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 74

Advancing to step 2:
74 goes into 25 0 times with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 74

On to step 3:
74 goes into 257 3 times with a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 35 after subtracting 222 from 257.
Include the next digit (0) from the dividend after 35, then repeat: 350 / 74

On to step 4:
350 divided by 74 is 4 with a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 34.0
Subtracting 296 from 350 leaves us with 54.
Grab the next digit (8) from the dividend, add it to 54, then carry on: 548 / 74

Advancing to step 5:
74 can be fit into 548 7 times, resulting in a remainder of 30.
Record the quotient 7 as the next digit in the result. 
Result so far: 347.0
If we take 518 away from 548, we end up with 30.
Append the next digit (1) from the dividend to 30 and continue with: 301 / 74

Step 6:
If we divide 301 by 74, we get 4 and a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 3474.0
Deduct 296 from 301 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 74 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 3474.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
If we divide 500 by 74, we get 6 and a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 3474.06
Deduct 444 from 500 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 9:
If we divide 560 by 74, we get 7 and a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 3474.067
If we subtract 518 from 560, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 10:
74 goes into 420 5 times with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 3474.0675
The remainder is 50 after subtracting 370 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 11:
If we divide 500 by 74, we get 6 and a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 3474.06756
If we subtract 444 from 500, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 12:
74 can be fit into 560 7 times, resulting in a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 3474.067567
Subtract 518 from 560 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 13:
74 goes into 420 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 3474.0675675
Subtract 370 from 420 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 14:
If we divide 500 by 74, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 3474.06756756
Subtracting 444 from 500 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The quotient of the division is 3474.06756756, and the remainder is 5.6e-08.