66188098 ÷ 257 
Our goal is to divide 66188098 by 257.

Let's proceed to step 1:
6 divided by 257 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 257

Going ahead to step 2:
66 divided by 257 is 0 with a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 257

Advancing to step 3:
257 goes into 661 2 times with a remainder of 147.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 147 after subtracting 514 from 661.
Bring next digit (8) of the dividend behind the 147 and repeat the process: 1478 / 257

Let's proceed to step 4:
257 goes into 1478 5 times with a remainder of 193.
Write down 5 as next digit of the result. 
Result so far: 25.0
If we take 1285 away from 1478, we end up with 193.
Take the next digit (8) from the dividend and append it to 193, then repeat: 1938 / 257

Advancing to step 5:
257 can be fit into 1938 7 times, resulting in a remainder of 139.
The next digit of our result is 7. 
Result so far: 257.0
If we subtract 1799 from 1938, we get 139.
Append the next digit (0) from the dividend to 139 and continue with: 1390 / 257

On to step 6:
257 can be fit into 1390 5 times, resulting in a remainder of 105.
Use 5 as the next digit of our solution. 
Result so far: 2575.0
The remainder is 105 after subtracting 1285 from 1390.
Append the next digit (9) from the dividend to 105 and continue with: 1059 / 257

Advancing to step 7:
1059 divided by 257 is 4 with a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 25754.0
The remainder is 31 after subtracting 1028 from 1059.
Fetch the next digit (8) from the dividend, attach it to 31 and continue: 318 / 257

Let's proceed to step 8:
318 divided by 257 is 1 with a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 257541.0
If we subtract 257 from 318, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 9:
257 can be fit into 610 2 times, resulting in a remainder of 96.
The number 2 becomes the next digit in our result. 
Result so far: 257541.2
Subtract 514 from 610 to get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Advancing to step 10:
257 can be fit into 960 3 times, resulting in a remainder of 189.
Put 3 as the next digit of the answer. 
Result so far: 257541.23
If we take 771 away from 960, we end up with 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1890, and continue the process.

On to step 11:
If we divide 1890 by 257, we get 7 and a remainder of 91.
Write down 7 as next digit of the result. 
Result so far: 257541.237
If we take 1799 away from 1890, we end up with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 12:
910 divided by 257 is 3 with a remainder of 139.
Use 3 as the next digit of our solution. 
Result so far: 257541.2373
Subtracting 771 from 910 leaves us with 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

Moving on to step 13:
1390 divided by 257 is 5 with a remainder of 105.
Write down 5 as next digit of the result. 
Result so far: 257541.23735
If we take 1285 away from 1390, we end up with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Advancing to step 14:
When dividing 1050 by 257, we get 4 with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 257541.237354
Subtracting 1028 from 1050 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 15:
220 divided by 257 is 0 with a remainder of 220.
Put 0 as the next digit of the answer. 
Result so far: 257541.237354
Subtracting 0 from 220 leaves us with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Going ahead to step 16:
The number 257 fits into 2200 8 times, leaving a remainder of 144.
Use 8 as the next digit of our solution. 
Result so far: 257541.23735408
Subtracting 2056 from 2200 leaves us with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

In conclusion, the division gives 257541.23735408 with a balance of 1.44e-07.