6742965 divided by 257 
We're looking to find how many times 257 goes into 6742965.

Advancing to step 1:
257 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 257

Step 2:
When dividing 67 by 257, we get 0 with a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 67 after subtracting 0 from 67.
Fetch the next digit (4) from the dividend, attach it to 67 and continue: 674 / 257

Going ahead to step 3:
257 can be fit into 674 2 times, resulting in a remainder of 160.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 514 from 674 to get 160.
Append the next digit (2) from the dividend to 160 and continue with: 1602 / 257

Going ahead to step 4:
257 can be fit into 1602 6 times, resulting in a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 26.0
Deduct 1542 from 1602 and we're left with 60.
Append the next digit (9) from the dividend to 60 and continue with: 609 / 257

Advancing to step 5:
The number 257 fits into 609 2 times, leaving a remainder of 95.
Use 2 as the next digit of our solution. 
Result so far: 262.0
Deduct 514 from 609 and we're left with 95.
Include the next digit (6) from the dividend after 95, then repeat: 956 / 257

Step 6:
When dividing 956 by 257, we get 3 with a remainder of 185.
Use 3 as the next digit of our solution. 
Result so far: 2623.0
Subtract 771 from 956 to get 185.
Fetch the next digit (5) from the dividend, attach it to 185 and continue: 1855 / 257

On to step 7:
1855 divided by 257 is 7 with a remainder of 56.
Record the quotient 7 as the next digit in the result. 
Result so far: 26237.0
Subtract 1799 from 1855 to 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.

Going ahead to step 8:
257 can be fit into 560 2 times, resulting in a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 26237.2
Subtracting 514 from 560 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 9:
257 can be fit into 460 1 times, resulting in a remainder of 203.
Put 1 as the next digit of the answer. 
Result so far: 26237.21
Deduct 257 from 460 and we're left with 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2030, and continue the process.

Advancing to step 10:
257 can be fit into 2030 7 times, resulting in a remainder of 231.
Write down 7 as next digit of the result. 
Result so far: 26237.217
Deduct 1799 from 2030 and we're left with 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Advancing to step 11:
If we divide 2310 by 257, we get 8 and a remainder of 254.
The number 8 becomes the next digit in our result. 
Result so far: 26237.2178
Subtracting 2056 from 2310 leaves us with 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

On to step 12:
257 can be fit into 2540 9 times, resulting in a remainder of 227.
Use 9 as the next digit of our solution. 
Result so far: 26237.21789
Subtracting 2313 from 2540 leaves us with 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2270, and continue the process.

On to step 13:
If we divide 2270 by 257, we get 8 and a remainder of 214.
Write down 8 as next digit of the result. 
Result so far: 26237.217898
If we take 2056 away from 2270, we end up with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Let's proceed to step 14:
257 goes into 2140 8 times with a remainder of 84.
The next digit of our result is 8. 
Result so far: 26237.2178988
The remainder is 84 after subtracting 2056 from 2140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The final result is 26237.2178988 with a remainder of 8.4e-07.