We're dividing 21502102 by 257 
Our goal is to divide 21502102 by 257.

Let's proceed to step 1:
If we divide 2 by 257, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 257

Let's proceed to step 2:
257 can be fit into 21 0 times, resulting in a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 257

Moving on to step 3:
215 divided by 257 is 0 with a remainder of 215.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 215 after subtracting 0 from 215.
Take the next digit (0) from the dividend and append it to 215, then repeat: 2150 / 257

Moving on to step 4:
257 goes into 2150 8 times with a remainder of 94.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 2056 from 2150, we get 94.
Grab the next digit (2) from the dividend, add it to 94, then carry on: 942 / 257

Advancing to step 5:
If we divide 942 by 257, we get 3 and a remainder of 171.
Put 3 as the next digit of the answer. 
Result so far: 83.0
If we take 771 away from 942, we end up with 171.
Bring next digit (1) of the dividend behind the 171 and repeat the process: 1711 / 257

On to step 6:
257 goes into 1711 6 times with a remainder of 169.
Put 6 as the next digit of the answer. 
Result so far: 836.0
If we subtract 1542 from 1711, we get 169.
Append the next digit (0) from the dividend to 169 and continue with: 1690 / 257

Let's proceed to step 7:
If we divide 1690 by 257, we get 6 and a remainder of 148.
Use 6 as the next digit of our solution. 
Result so far: 8366.0
If we subtract 1542 from 1690, we get 148.
Include the next digit (2) from the dividend after 148, then repeat: 1482 / 257

Going ahead to step 8:
If we divide 1482 by 257, we get 5 and a remainder of 197.
Write down 5 as next digit of the result. 
Result so far: 83665.0
The remainder is 197 after subtracting 1285 from 1482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Moving on to step 9:
1970 divided by 257 is 7 with a remainder of 171.
Put 7 as the next digit of the answer. 
Result so far: 83665.7
Subtracting 1799 from 1970 leaves us with 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

Going ahead to step 10:
If we divide 1710 by 257, we get 6 and a remainder of 168.
The number 6 becomes the next digit in our result. 
Result so far: 83665.76
Deduct 1542 from 1710 and we're left with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Moving on to step 11:
When dividing 1680 by 257, we get 6 with a remainder of 138.
The next digit of our result is 6. 
Result so far: 83665.766
Deduct 1542 from 1680 and we're left with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

The quotient of the division is 83665.766, and the remainder is 0.0138.