We're dividing 7345885 by 581 
We want to divide 7345885 by 581.

Going ahead to step 1:
If we divide 7 by 581, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 581

Let's proceed to step 2:
The number 581 fits into 73 0 times, leaving a remainder of 73.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 73, we get 73.
Take the next digit (4) from the dividend and append it to 73, then repeat: 734 / 581

Let's proceed to step 3:
The number 581 fits into 734 1 times, leaving a remainder of 153.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 153 after subtracting 581 from 734.
Include the next digit (5) from the dividend after 153, then repeat: 1535 / 581

Let's proceed to step 4:
The number 581 fits into 1535 2 times, leaving a remainder of 373.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 1162 from 1535, we get 373.
Grab the next digit (8) from the dividend, add it to 373, then carry on: 3738 / 581

Let's proceed to step 5:
When dividing 3738 by 581, we get 6 with a remainder of 252.
The next digit of our result is 6. 
Result so far: 126.0
If we take 3486 away from 3738, we end up with 252.
Append the next digit (8) from the dividend to 252 and continue with: 2528 / 581

Let's proceed to step 6:
The number 581 fits into 2528 4 times, leaving a remainder of 204.
The next digit of our result is 4. 
Result so far: 1264.0
If we subtract 2324 from 2528, we get 204.
Take the next digit (5) from the dividend and append it to 204, then repeat: 2045 / 581

Moving on to step 7:
If we divide 2045 by 581, we get 3 and a remainder of 302.
Use 3 as the next digit of our solution. 
Result so far: 12643.0
Subtract 1743 from 2045 to get 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

Going ahead to step 8:
581 goes into 3020 5 times with a remainder of 115.
The number 5 becomes the next digit in our result. 
Result so far: 12643.5
Deduct 2905 from 3020 and we're left with 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Step 9:
581 goes into 1150 1 times with a remainder of 569.
Use 1 as the next digit of our solution. 
Result so far: 12643.51
Subtract 581 from 1150 to get 569.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5690, and continue the process.

Moving on to step 10:
When dividing 5690 by 581, we get 9 with a remainder of 461.
The number 9 becomes the next digit in our result. 
Result so far: 12643.519
Subtract 5229 from 5690 to get 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Advancing to step 11:
The number 581 fits into 4610 7 times, leaving a remainder of 543.
The next digit of our result is 7. 
Result so far: 12643.5197
If we subtract 4067 from 4610, we get 543.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5430, and continue the process.

Let's proceed to step 12:
581 can be fit into 5430 9 times, resulting in a remainder of 201.
Put 9 as the next digit of the answer. 
Result so far: 12643.51979
Subtracting 5229 from 5430 leaves us with 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

Step 13:
The number 581 fits into 2010 3 times, leaving a remainder of 267.
Record the quotient 3 as the next digit in the result. 
Result so far: 12643.519793
If we subtract 1743 from 2010, we get 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

Advancing to step 14:
The number 581 fits into 2670 4 times, leaving a remainder of 346.
The next digit of our result is 4. 
Result so far: 12643.5197934
If we take 2324 away from 2670, we end up with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Let's proceed to step 15:
3460 divided by 581 is 5 with a remainder of 555.
The number 5 becomes the next digit in our result. 
Result so far: 12643.51979345
The remainder is 555 after subtracting 2905 from 3460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5550, and continue the process.

The final result is 12643.51979345 with a remainder of 5.55e-07.