2231964 ÷ 257 
Our goal is to divide 2231964 by 257.

Moving on to step 1:
If we divide 2 by 257, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 257

On to step 2:
When dividing 22 by 257, we get 0 with a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 22 after subtracting 0 from 22.
Grab the next digit (3) from the dividend, add it to 22, then carry on: 223 / 257

Going ahead to step 3:
257 goes into 223 0 times with a remainder of 223.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 223, we get 223.
Grab the next digit (1) from the dividend, add it to 223, then carry on: 2231 / 257

Step 4:
When dividing 2231 by 257, we get 8 with a remainder of 175.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 2056 away from 2231, we end up with 175.
Append the next digit (9) from the dividend to 175 and continue with: 1759 / 257

Let's proceed to step 5:
257 can be fit into 1759 6 times, resulting in a remainder of 217.
Write down 6 as next digit of the result. 
Result so far: 86.0
If we take 1542 away from 1759, we end up with 217.
Grab the next digit (6) from the dividend, add it to 217, then carry on: 2176 / 257

On to step 6:
2176 divided by 257 is 8 with a remainder of 120.
Put 8 as the next digit of the answer. 
Result so far: 868.0
If we take 2056 away from 2176, we end up with 120.
Include the next digit (4) from the dividend after 120, then repeat: 1204 / 257

Let's proceed to step 7:
The number 257 fits into 1204 4 times, leaving a remainder of 176.
Write down 4 as next digit of the result. 
Result so far: 8684.0
Subtracting 1028 from 1204 leaves us with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Moving on to step 8:
When dividing 1760 by 257, we get 6 with a remainder of 218.
Write down 6 as next digit of the result. 
Result so far: 8684.6
If we subtract 1542 from 1760, we get 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Let's proceed to step 9:
257 goes into 2180 8 times with a remainder of 124.
Use 8 as the next digit of our solution. 
Result so far: 8684.68
Subtract 2056 from 2180 to get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

On to step 10:
If we divide 1240 by 257, we get 4 and a remainder of 212.
The number 4 becomes the next digit in our result. 
Result so far: 8684.684
If we take 1028 away from 1240, we end up with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Advancing to step 11:
257 can be fit into 2120 8 times, resulting in a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 8684.6848
Subtracting 2056 from 2120 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 12:
When dividing 640 by 257, we get 2 with a remainder of 126.
Use 2 as the next digit of our solution. 
Result so far: 8684.68482
Subtract 514 from 640 to get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Step 13:
257 can be fit into 1260 4 times, resulting in a remainder of 232.
Use 4 as the next digit of our solution. 
Result so far: 8684.684824
Deduct 1028 from 1260 and we're left with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Advancing to step 14:
257 goes into 2320 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 8684.6848249
Subtract 2313 from 2320 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 15:
70 divided by 257 is 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 8684.6848249
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Our division results in 8684.6848249 with a remaining 7e-08.