We're dividing 669373 by 257 
We're looking to find how many times 257 goes into 669373.

Going ahead to step 1:
If we divide 6 by 257, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 257

On to step 2:
257 goes into 66 0 times with a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Fetch the next digit (9) from the dividend, attach it to 66 and continue: 669 / 257

Going ahead to step 3:
669 divided by 257 is 2 with a remainder of 155.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 514 away from 669, we end up with 155.
Include the next digit (3) from the dividend after 155, then repeat: 1553 / 257

Let's proceed to step 4:
If we divide 1553 by 257, we get 6 and a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtracting 1542 from 1553 leaves us with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 257

Advancing to step 5:
257 can be fit into 117 0 times, resulting in a remainder of 117.
Put 0 as the next digit of the answer. 
Result so far: 260.0
Deduct 0 from 117 and we're left with 117.
Append the next digit (3) from the dividend to 117 and continue with: 1173 / 257

Let's proceed to step 6:
257 goes into 1173 4 times with a remainder of 145.
Use 4 as the next digit of our solution. 
Result so far: 2604.0
Subtract 1028 from 1173 to get 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 7:
257 can be fit into 1450 5 times, resulting in a remainder of 165.
Use 5 as the next digit of our solution. 
Result so far: 2604.5
If we subtract 1285 from 1450, we get 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Moving on to step 8:
1650 divided by 257 is 6 with a remainder of 108.
The next digit of our result is 6. 
Result so far: 2604.56
The remainder is 108 after subtracting 1542 from 1650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Step 9:
If we divide 1080 by 257, we get 4 and a remainder of 52.
The next digit of our result is 4. 
Result so far: 2604.564
If we take 1028 away from 1080, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 10:
257 can be fit into 520 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 2604.5642
If we take 514 away from 520, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
257 goes into 60 0 times with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 2604.5642
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 12:
If we divide 600 by 257, we get 2 and a remainder of 86.
Use 2 as the next digit of our solution. 
Result so far: 2604.564202
Deduct 514 from 600 and we're left 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 13:
If we divide 860 by 257, we get 3 and a remainder of 89.
Record the quotient 3 as the next digit in the result. 
Result so far: 2604.5642023
If we subtract 771 from 860, we get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Let's proceed to step 14:
890 divided by 257 is 3 with a remainder of 119.
Write down 3 as next digit of the result. 
Result so far: 2604.56420233
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.

Our division results in 2604.56420233 with a remaining 1.19e-07.