66559588 ÷ 127 
Our goal is to divide 66559588 by 127.

Step 1:
6 divided by 127 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 127

Let's proceed to step 2:
127 can be fit into 66 0 times, resulting in a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Bring next digit (5) of the dividend behind the 66 and repeat the process: 665 / 127

Moving on to step 3:
If we divide 665 by 127, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 635 from 665 and we're left with 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 127

On to step 4:
When dividing 305 by 127, we get 2 with a remainder of 51.
Put 2 as the next digit of the answer. 
Result so far: 52.0
The remainder is 51 after subtracting 254 from 305.
Append the next digit (9) from the dividend to 51 and continue with: 519 / 127

Step 5:
The number 127 fits into 519 4 times, leaving a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 524.0
Deduct 508 from 519 and we're left with 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 127

Let's proceed to step 6:
127 can be fit into 115 0 times, resulting in a remainder of 115.
Record the quotient 0 as the next digit in the result. 
Result so far: 5240.0
If we take 0 away from 115, we end up with 115.
Take the next digit (8) from the dividend and append it to 115, then repeat: 1158 / 127

Let's proceed to step 7:
If we divide 1158 by 127, we get 9 and a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 52409.0
If we subtract 1143 from 1158, we get 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 127

Moving on to step 8:
When dividing 158 by 127, we get 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 524091.0
If we take 127 away from 158, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 9:
If we divide 310 by 127, we get 2 and a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 524091.2
Deduct 254 from 310 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 10:
560 divided by 127 is 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 524091.24
The remainder is 52 after subtracting 508 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
If we divide 520 by 127, we get 4 and a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 524091.244
Subtract 508 from 520 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 524091.244 with a remainder of 0.0012.