538913 ÷ 66 
Our goal is to divide 538913 by 66.

Going ahead to step 1:
5 divided by 66 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 66

Moving on to step 2:
If we divide 53 by 66, we get 0 and a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 53, we end up with 53.
Include the next digit (8) from the dividend after 53, then repeat: 538 / 66

Let's proceed to step 3:
If we divide 538 by 66, we get 8 and a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 528 away from 538, we end up with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 66

Step 4:
When dividing 109 by 66, we get 1 with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 81.0
If we take 66 away from 109, we end up with 43.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 66

On to step 5:
66 can be fit into 431 6 times, resulting in a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 816.0
The remainder is 35 after subtracting 396 from 431.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 66

Step 6:
The number 66 fits into 353 5 times, leaving a remainder of 23.
Put 5 as the next digit of the answer. 
Result so far: 8165.0
Deduct 330 from 353 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
66 can be fit into 230 3 times, resulting in a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 8165.3
Subtracting 198 from 230 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 8:
When dividing 320 by 66, we get 4 with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 8165.34
If we subtract 264 from 320, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
560 divided by 66 is 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 8165.348
The remainder is 32 after subtracting 528 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
66 can be fit into 320 4 times, resulting in a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 8165.3484
Subtracting 264 from 320 leaves us 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.

Advancing to step 11:
66 can be fit into 560 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 8165.34848
If we subtract 528 from 560, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
66 can be fit into 320 4 times, resulting in a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 8165.348484
If we subtract 264 from 320, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 13:
66 goes into 560 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 8165.3484848
If we subtract 528 from 560, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 14:
320 divided by 66 is 4 with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 8165.34848484
Deduct 264 from 320 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.

The final outcome is 8165.34848484, with a leftover of 5.6e-08.