We look at the division of 11112261 by 506 
We want to figure out the number of times 11112261 can be divided by 506.

Moving on to step 1:
1 divided by 506 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 506

Going ahead to step 2:
506 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 506

Let's proceed to step 3:
If we divide 111 by 506, we get 0 and a remainder of 111.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 111 and we're left with 111.
Append the next digit (1) from the dividend to 111 and continue with: 1111 / 506

On to step 4:
506 goes into 1111 2 times with a remainder of 99.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 1012 from 1111 to get 99.
Bring next digit (2) of the dividend behind the 99 and repeat the process: 992 / 506

Advancing to step 5:
506 can be fit into 992 1 times, resulting in a remainder of 486.
The next digit of our result is 1. 
Result so far: 21.0
Deduct 506 from 992 and we're left with 486.
Fetch the next digit (2) from the dividend, attach it to 486 and continue: 4862 / 506

Moving on to step 6:
506 can be fit into 4862 9 times, resulting in a remainder of 308.
Put 9 as the next digit of the answer. 
Result so far: 219.0
Deduct 4554 from 4862 and we're left with 308.
Include the next digit (6) from the dividend after 308, then repeat: 3086 / 506

Step 7:
3086 divided by 506 is 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 2196.0
If we take 3036 away from 3086, we end up with 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 506

Let's proceed to step 8:
506 goes into 501 0 times with a remainder of 501.
Use 0 as the next digit of our solution. 
Result so far: 21960.0
Deduct 0 from 501 and we're left with 501.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5010, and continue the process.

Advancing to step 9:
If we divide 5010 by 506, we get 9 and a remainder of 456.
The number 9 becomes the next digit in our result. 
Result so far: 21960.9
If we take 4554 away from 5010, we end up with 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

Advancing to step 10:
506 goes into 4560 9 times with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 21960.99
Subtract 4554 from 4560 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 21960.99, and the remainder is 0.006.