583131 ÷ 66 
Let's see how many times 66 fits into 583131.

On to step 1:
When dividing 5 by 66, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 66

On to step 2:
The number 66 fits into 58 0 times, leaving a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Bring next digit (3) of the dividend behind the 58 and repeat the process: 583 / 66

On to step 3:
When dividing 583 by 66, we get 8 with a remainder of 55.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 528 from 583 and we're left with 55.
Append the next digit (1) from the dividend to 55 and continue with: 551 / 66

On to step 4:
When dividing 551 by 66, we get 8 with a remainder of 23.
Use 8 as the next digit of our solution. 
Result so far: 88.0
The remainder is 23 after subtracting 528 from 551.
Append the next digit (3) from the dividend to 23 and continue with: 233 / 66

On to step 5:
233 divided by 66 is 3 with a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 883.0
The remainder is 35 after subtracting 198 from 233.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 66

Step 6:
66 goes into 351 5 times with a remainder of 21.
Use 5 as the next digit of our solution. 
Result so far: 8835.0
Subtract 330 from 351 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
66 goes into 210 3 times with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 8835.3
If we subtract 198 from 210, we 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.

Let's proceed to step 8:
120 divided by 66 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 8835.31
Subtracting 66 from 120 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.

Moving on to step 9:
When dividing 540 by 66, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 8835.318
The remainder is 12 after subtracting 528 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
66 goes into 120 1 times with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 8835.3181
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.

Let's proceed to step 11:
66 can be fit into 540 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 8835.31818
If we take 528 away from 540, we end up 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.

Moving on to step 12:
66 goes into 120 1 times with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 8835.318181
If we take 66 away from 120, we end up 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.

Advancing to step 13:
66 can be fit into 540 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 8835.3181818
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.

Moving on to step 14:
If we divide 120 by 66, we get 1 and a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 8835.31818181
Subtract 66 from 120 to 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.

In conclusion, the division gives 8835.31818181 with a balance of 5.4e-08.