4102879 ÷ 257 
We want to figure out the number of times 4102879 can be divided by 257.

Advancing to step 1:
257 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 257

Advancing to step 2:
41 divided by 257 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Include the next digit (0) from the dividend after 41, then repeat: 410 / 257

Going ahead to step 3:
When dividing 410 by 257, we get 1 with a remainder of 153.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 257 from 410 and we're left with 153.
Take the next digit (2) from the dividend and append it to 153, then repeat: 1532 / 257

Step 4:
257 can be fit into 1532 5 times, resulting in a remainder of 247.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 247 after subtracting 1285 from 1532.
Append the next digit (8) from the dividend to 247 and continue with: 2478 / 257

Advancing to step 5:
The number 257 fits into 2478 9 times, leaving a remainder of 165.
The next digit of our result is 9. 
Result so far: 159.0
Subtract 2313 from 2478 to get 165.
Fetch the next digit (7) from the dividend, attach it to 165 and continue: 1657 / 257

Moving on to step 6:
The number 257 fits into 1657 6 times, leaving a remainder of 115.
Put 6 as the next digit of the answer. 
Result so far: 1596.0
Subtracting 1542 from 1657 leaves us with 115.
Grab the next digit (9) from the dividend, add it to 115, then carry on: 1159 / 257

Moving on to step 7:
257 goes into 1159 4 times with a remainder of 131.
Record the quotient 4 as the next digit in the result. 
Result so far: 15964.0
If we subtract 1028 from 1159, we get 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Advancing to step 8:
257 can be fit into 1310 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 15964.5
Deduct 1285 from 1310 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
257 can be fit into 250 0 times, resulting in a remainder of 250.
Put 0 as the next digit of the answer. 
Result so far: 15964.5
The remainder is 250 after subtracting 0 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Advancing to step 10:
When dividing 2500 by 257, we get 9 with a remainder of 187.
The next digit of our result is 9. 
Result so far: 15964.509
If we subtract 2313 from 2500, we get 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

On to step 11:
257 goes into 1870 7 times with a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 15964.5097
Subtract 1799 from 1870 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 12:
If we divide 710 by 257, we get 2 and a remainder of 196.
Use 2 as the next digit of our solution. 
Result so far: 15964.50972
Subtracting 514 from 710 leaves us with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Let's proceed to step 13:
257 goes into 1960 7 times with a remainder of 161.
The next digit of our result is 7. 
Result so far: 15964.509727
If we subtract 1799 from 1960, we get 161.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1610, and continue the process.

On to step 14:
The number 257 fits into 1610 6 times, leaving a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 15964.5097276
If we subtract 1542 from 1610, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 15:
If we divide 680 by 257, we get 2 and a remainder of 166.
The next digit of our result is 2. 
Result so far: 15964.50972762
The remainder is 166 after subtracting 514 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

In conclusion, the division gives 15964.50972762 with a balance of 1.66e-07.