We're dividing 74184421 by 257 
Our goal is to divide 74184421 by 257.

Moving on to step 1:
257 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 257

Step 2:
74 divided by 257 is 0 with a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Grab the next digit (1) from the dividend, add it to 74, then carry on: 741 / 257

Let's proceed to step 3:
741 divided by 257 is 2 with a remainder of 227.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 514 from 741 leaves us with 227.
Grab the next digit (8) from the dividend, add it to 227, then carry on: 2278 / 257

Let's proceed to step 4:
If we divide 2278 by 257, we get 8 and a remainder of 222.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
If we subtract 2056 from 2278, we get 222.
Grab the next digit (4) from the dividend, add it to 222, then carry on: 2224 / 257

Moving on to step 5:
The number 257 fits into 2224 8 times, leaving a remainder of 168.
Use 8 as the next digit of our solution. 
Result so far: 288.0
The remainder is 168 after subtracting 2056 from 2224.
Grab the next digit (4) from the dividend, add it to 168, then carry on: 1684 / 257

Moving on to step 6:
If we divide 1684 by 257, we get 6 and a remainder of 142.
The next digit of our result is 6. 
Result so far: 2886.0
If we take 1542 away from 1684, we end up with 142.
Take the next digit (2) from the dividend and append it to 142, then repeat: 1422 / 257

Moving on to step 7:
1422 divided by 257 is 5 with a remainder of 137.
Write down 5 as next digit of the result. 
Result so far: 28865.0
Subtract 1285 from 1422 to get 137.
Bring next digit (1) of the dividend behind the 137 and repeat the process: 1371 / 257

Advancing to step 8:
257 goes into 1371 5 times with a remainder of 86.
The next digit of our result is 5. 
Result so far: 288655.0
Subtracting 1285 from 1371 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 9:
257 goes into 860 3 times with a remainder of 89.
Record the quotient 3 as the next digit in the result. 
Result so far: 288655.3
Deduct 771 from 860 and we're left with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 10:
When dividing 890 by 257, we get 3 with a remainder of 119.
Write down 3 as next digit of the result. 
Result so far: 288655.33
If we subtract 771 from 890, we get 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1190, and continue the process.

After the division, we end up with 288655.33 and a remainder of 0.119.