6021263 ÷ 581 
Our goal is to divide 6021263 by 581.

Let's proceed to step 1:
If we divide 6 by 581, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 581

Step 2:
581 goes into 60 0 times with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 60, we end up with 60.
Take the next digit (2) from the dividend and append it to 60, then repeat: 602 / 581

Advancing to step 3:
581 goes into 602 1 times with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 581 from 602, we get 21.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 581

Moving on to step 4:
The number 581 fits into 211 0 times, leaving a remainder of 211.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 211 and we're left with 211.
Take the next digit (2) from the dividend and append it to 211, then repeat: 2112 / 581

Advancing to step 5:
When dividing 2112 by 581, we get 3 with a remainder of 369.
Use 3 as the next digit of our solution. 
Result so far: 103.0
If we subtract 1743 from 2112, we get 369.
Bring next digit (6) of the dividend behind the 369 and repeat the process: 3696 / 581

Going ahead to step 6:
When dividing 3696 by 581, we get 6 with a remainder of 210.
Use 6 as the next digit of our solution. 
Result so far: 1036.0
The remainder is 210 after subtracting 3486 from 3696.
Append the next digit (3) from the dividend to 210 and continue with: 2103 / 581

Advancing to step 7:
581 goes into 2103 3 times with a remainder of 360.
The next digit of our result is 3. 
Result so far: 10363.0
If we take 1743 away from 2103, we end up with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Advancing to step 8:
3600 divided by 581 is 6 with a remainder of 114.
The next digit of our result is 6. 
Result so far: 10363.6
Deduct 3486 from 3600 and we're left with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Let's proceed to step 9:
When dividing 1140 by 581, we get 1 with a remainder of 559.
The next digit of our result is 1. 
Result so far: 10363.61
Deduct 581 from 1140 and we're left with 559.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5590, and continue the process.

Going ahead to step 10:
The number 581 fits into 5590 9 times, leaving a remainder of 361.
Put 9 as the next digit of the answer. 
Result so far: 10363.619
If we subtract 5229 from 5590, we get 361.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3610, and continue the process.

Advancing to step 11:
581 can be fit into 3610 6 times, resulting in a remainder of 124.
Put 6 as the next digit of the answer. 
Result so far: 10363.6196
If we take 3486 away from 3610, we end up with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

On to step 12:
If we divide 1240 by 581, we get 2 and a remainder of 78.
Use 2 as the next digit of our solution. 
Result so far: 10363.61962
Subtract 1162 from 1240 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 13:
581 can be fit into 780 1 times, resulting in a remainder of 199.
Use 1 as the next digit of our solution. 
Result so far: 10363.619621
Subtracting 581 from 780 leaves us with 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Step 14:
1990 divided by 581 is 3 with a remainder of 247.
The number 3 becomes the next digit in our result. 
Result so far: 10363.6196213
Deduct 1743 from 1990 and we're left with 247.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2470, and continue the process.

Advancing to step 15:
581 goes into 2470 4 times with a remainder of 146.
The number 4 becomes the next digit in our result. 
Result so far: 10363.61962134
Deduct 2324 from 2470 and we're left with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

After the division, we end up with 10363.61962134 and a remainder of 1.46e-07.