We're dividing 598345 by 66 
We want to figure out the number of times 598345 can be divided by 66.

Going ahead to step 1:
66 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 66

Step 2:
59 divided by 66 is 0 with a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 59, we end up with 59.
Fetch the next digit (8) from the dividend, attach it to 59 and continue: 598 / 66

Step 3:
The number 66 fits into 598 9 times, leaving a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 594 from 598 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 66

Going ahead to step 4:
If we divide 43 by 66, we get 0 and a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 90.0
Subtract 0 from 43 to get 43.
Take the next digit (4) from the dividend and append it to 43, then repeat: 434 / 66

Let's proceed to step 5:
When dividing 434 by 66, we get 6 with a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 906.0
Deduct 396 from 434 and we're left with 38.
Fetch the next digit (5) from the dividend, attach it to 38 and continue: 385 / 66

Advancing to step 6:
When dividing 385 by 66, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 9065.0
If we subtract 330 from 385, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
If we divide 550 by 66, we get 8 and a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 9065.8
Subtracting 528 from 550 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.

Step 8:
66 goes into 220 3 times with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 9065.83
Subtracting 198 from 220 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.

Advancing to step 9:
66 goes into 220 3 times with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 9065.833
If we take 198 away from 220, we end up 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.

The final result is 9065.833 with a remainder of 0.0022.