We look at the division of 581335 by 83 
We want to figure out the number of times 581335 can be divided by 83.

Advancing to step 1:
When dividing 5 by 83, 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 / 83

Advancing to step 2:
If we divide 58 by 83, we get 0 and a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Take the next digit (1) from the dividend and append it to 58, then repeat: 581 / 83

Let's proceed to step 3:
If we divide 581 by 83, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 581 from 581 and we're left with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 83

Step 4:
If we divide 3 by 83, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 83

Step 5:
83 can be fit into 33 0 times, resulting in a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 700.0
The remainder is 33 after subtracting 0 from 33.
Fetch the next digit (5) from the dividend, attach it to 33 and continue: 335 / 83

Moving on to step 6:
The number 83 fits into 335 4 times, leaving a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 7004.0
The remainder is 3 after subtracting 332 from 335.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
When dividing 30 by 83, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 7004.0
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
When dividing 300 by 83, we get 3 with a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 7004.03
Subtract 249 from 300 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 9:
510 divided by 83 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 7004.036
If we subtract 498 from 510, 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.

Moving on to step 10:
If we divide 120 by 83, we get 1 and a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 7004.0361
Deduct 83 from 120 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 11:
83 can be fit into 370 4 times, resulting in a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 7004.03614
If we subtract 332 from 370, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 12:
The number 83 fits into 380 4 times, leaving a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 7004.036144
Deduct 332 from 380 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final result is 7004.036144 with a remainder of 4.8e-06.