3201113 ÷ 581 
We want to divide 3201113 by 581.

Advancing to step 1:
If we divide 3 by 581, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 581

Step 2:
32 divided by 581 is 0 with a remainder of 32.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 32 after subtracting 0 from 32.
Fetch the next digit (0) from the dividend, attach it to 32 and continue: 320 / 581

Step 3:
581 goes into 320 0 times with a remainder of 320.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 320 and we're left with 320.
Append the next digit (1) from the dividend to 320 and continue with: 3201 / 581

Moving on to step 4:
581 can be fit into 3201 5 times, resulting in a remainder of 296.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 2905 from 3201 to get 296.
Fetch the next digit (1) from the dividend, attach it to 296 and continue: 2961 / 581

Let's proceed to step 5:
581 goes into 2961 5 times with a remainder of 56.
The next digit of our result is 5. 
Result so far: 55.0
If we subtract 2905 from 2961, we get 56.
Include the next digit (1) from the dividend after 56, then repeat: 561 / 581

Advancing to step 6:
581 can be fit into 561 0 times, resulting in a remainder of 561.
Put 0 as the next digit of the answer. 
Result so far: 550.0
The remainder is 561 after subtracting 0 from 561.
Append the next digit (3) from the dividend to 561 and continue with: 5613 / 581

Moving on to step 7:
If we divide 5613 by 581, we get 9 and a remainder of 384.
Use 9 as the next digit of our solution. 
Result so far: 5509.0
If we subtract 5229 from 5613, we get 384.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

On to step 8:
When dividing 3840 by 581, we get 6 with a remainder of 354.
Put 6 as the next digit of the answer. 
Result so far: 5509.6
Subtract 3486 from 3840 to get 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

On to step 9:
When dividing 3540 by 581, we get 6 with a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 5509.66
If we subtract 3486 from 3540, 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.

Our division results in 5509.66 with a remaining 0.054.