581645 divided by 66 
We're looking to find how many times 66 goes into 581645.

Step 1:
If we divide 5 by 66, we get 0 and 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.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 66

Moving on to step 2:
When dividing 58 by 66, we get 0 with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Grab the next digit (1) from the dividend, add it to 58, then carry on: 581 / 66

Let's proceed to step 3:
When dividing 581 by 66, we get 8 with a remainder of 53.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 528 from 581 leaves us with 53.
Fetch the next digit (6) from the dividend, attach it to 53 and continue: 536 / 66

On to step 4:
When dividing 536 by 66, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 88.0
Subtracting 528 from 536 leaves us with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 66

Advancing to step 5:
When dividing 84 by 66, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 881.0
If we subtract 66 from 84, we get 18.
Bring next digit (5) of the dividend behind the 18 and repeat the process: 185 / 66

Advancing to step 6:
185 divided by 66 is 2 with a remainder of 53.
The next digit of our result is 2. 
Result so far: 8812.0
The remainder is 53 after subtracting 132 from 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 7:
66 can be fit into 530 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8812.8
Deduct 528 from 530 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
If we divide 20 by 66, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8812.8
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
66 can be fit into 200 3 times, resulting in a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 8812.803
Subtracting 198 from 200 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
66 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 8812.803
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
200 divided by 66 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 8812.80303
Deduct 198 from 200 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
When dividing 20 by 66, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 8812.80303
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
If we divide 200 by 66, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 8812.8030303
Subtract 198 from 200 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
The number 66 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 8812.8030303
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 8812.8030303, with a leftover of 2e-08.