We look at the division of 258633 by 66 
We want to divide 258633 by 66.

On to step 1:
If we divide 2 by 66, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 66

Let's proceed to step 2:
66 goes into 25 0 times with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 66

Step 3:
66 goes into 258 3 times with a remainder of 60.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 198 away from 258, we end up with 60.
Append the next digit (6) from the dividend to 60 and continue with: 606 / 66

Going ahead to step 4:
66 can be fit into 606 9 times, resulting in a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 39.0
Deduct 594 from 606 and we're left with 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 66

On to step 5:
The number 66 fits into 123 1 times, leaving a remainder of 57.
Write down 1 as next digit of the result. 
Result so far: 391.0
Subtract 66 from 123 to get 57.
Take the next digit (3) from the dividend and append it to 57, then repeat: 573 / 66

Advancing to step 6:
66 goes into 573 8 times with a remainder of 45.
Record the quotient 8 as the next digit in the result. 
Result so far: 3918.0
If we take 528 away from 573, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 7:
66 goes into 450 6 times with a remainder of 54.
The next digit of our result is 6. 
Result so far: 3918.6
Subtracting 396 from 450 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 8:
540 divided by 66 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 3918.68
Subtract 528 from 540 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.

Step 9:
120 divided by 66 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 3918.681
The remainder is 54 after subtracting 66 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 10:
66 can be fit into 540 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 3918.6818
Subtract 528 from 540 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.

On to step 11:
120 divided by 66 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 3918.68181
If we subtract 66 from 120, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 12:
When dividing 540 by 66, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 3918.681818
Deduct 528 from 540 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
The number 66 fits into 120 1 times, leaving a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 3918.6818181
Deduct 66 from 120 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 14:
66 goes into 540 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 3918.68181818
Subtract 528 from 540 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 3918.68181818 with a remainder of 1.2e-08.