We divide 42678001 by 257
Our goal is to divide 42678001 by 257.

Advancing to step 1:
4 divided by 257 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 257

Let's proceed to step 2:
If we divide 42 by 257, we get 0 and a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Fetch the next digit (6) from the dividend, attach it to 42 and continue: 426 / 257

Moving on to step 3:
When dividing 426 by 257, we get 1 with a remainder of 169.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 257 from 426 leaves us with 169.
Include the next digit (7) from the dividend after 169, then repeat: 1697 / 257

Advancing to step 4:
257 can be fit into 1697 6 times, resulting in a remainder of 155.
Use 6 as the next digit of our solution. 
Result so far: 16.0
The remainder is 155 after subtracting 1542 from 1697.
Fetch the next digit (8) from the dividend, attach it to 155 and continue: 1558 / 257

Moving on to step 5:
257 can be fit into 1558 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 166.0
Subtracting 1542 from 1558 leaves us with 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 257

Step 6:
257 can be fit into 160 0 times, resulting in a remainder of 160.
The next digit of our result is 0. 
Result so far: 1660.0
Subtract 0 from 160 to get 160.
Include the next digit (0) from the dividend after 160, then repeat: 1600 / 257

Moving on to step 7:
When dividing 1600 by 257, we get 6 with a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 16606.0
Subtracting 1542 from 1600 leaves us with 58.
Grab the next digit (1) from the dividend, add it to 58, then carry on: 581 / 257

On to step 8:
If we divide 581 by 257, we get 2 and a remainder of 67.
Write down 2 as next digit of the result. 
Result so far: 166062.0
Subtract 514 from 581 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 9:
670 divided by 257 is 2 with a remainder of 156.
Use 2 as the next digit of our solution. 
Result so far: 166062.2
The remainder is 156 after subtracting 514 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Step 10:
When dividing 1560 by 257, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 166062.26
Subtract 1542 from 1560 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
The number 257 fits into 180 0 times, leaving a remainder of 180.
Write down 0 as next digit of the result. 
Result so far: 166062.26
Subtract 0 from 180 to get 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Step 12:
257 can be fit into 1800 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 166062.2607
If we take 1799 away from 1800, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
If we divide 10 by 257, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 166062.2607
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
257 goes into 100 0 times with a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 166062.2607
If we subtract 0 from 100, we get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The final outcome is 166062.2607, with a leftover of 1e-05.