597178 ÷ 66 
We want to figure out the number of times 597178 can be divided by 66.

On to step 1:
66 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 66

Going ahead to step 2:
59 divided by 66 is 0 with a remainder of 59.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 59, we get 59.
Bring next digit (7) of the dividend behind the 59 and repeat the process: 597 / 66

On to step 3:
The number 66 fits into 597 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 3 after subtracting 594 from 597.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 66

On to step 4:
If we divide 31 by 66, we get 0 and a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 90.0
If we subtract 0 from 31, we get 31.
Include the next digit (7) from the dividend after 31, then repeat: 317 / 66

Going ahead to step 5:
The number 66 fits into 317 4 times, leaving a remainder of 53.
Write down 4 as next digit of the result. 
Result so far: 904.0
Subtract 264 from 317 to get 53.
Take the next digit (8) from the dividend and append it to 53, then repeat: 538 / 66

Let's proceed to step 6:
66 can be fit into 538 8 times, resulting in a remainder of 10.
The next digit of our result is 8. 
Result so far: 9048.0
The remainder is 10 after subtracting 528 from 538.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 66, we get 1 with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 9048.1
The remainder is 34 after subtracting 66 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
When dividing 340 by 66, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 9048.15
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
When dividing 100 by 66, we get 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 9048.151
Subtract 66 from 100 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 10:
When dividing 340 by 66, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 9048.1515
If we take 330 away from 340, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
The number 66 fits into 100 1 times, leaving a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 9048.15151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 9048.151515
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
66 goes into 100 1 times with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 9048.1515151
If we take 66 away from 100, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
66 goes into 340 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 9048.15151515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 9048.15151515 with a balance of 1e-08.