We're dividing 53661468 by 506 
We're looking to find how many times 506 goes into 53661468.

Let's proceed to step 1:
If we divide 5 by 506, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 506

Advancing to step 2:
The number 506 fits into 53 0 times, leaving a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 53 to get 53.
Take the next digit (6) from the dividend and append it to 53, then repeat: 536 / 506

Moving on to step 3:
If we divide 536 by 506, we get 1 and a remainder of 30.
The next digit of our result is 1. 
Result so far: 1.0
If we take 506 away from 536, we end up with 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 506

Step 4:
When dividing 306 by 506, we get 0 with a remainder of 306.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 306, we end up with 306.
Fetch the next digit (1) from the dividend, attach it to 306 and continue: 3061 / 506

On to step 5:
506 can be fit into 3061 6 times, resulting in a remainder of 25.
The next digit of our result is 6. 
Result so far: 106.0
Subtract 3036 from 3061 to get 25.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 506

Moving on to step 6:
506 goes into 254 0 times with a remainder of 254.
Use 0 as the next digit of our solution. 
Result so far: 1060.0
If we subtract 0 from 254, we get 254.
Take the next digit (6) from the dividend and append it to 254, then repeat: 2546 / 506

Advancing to step 7:
When dividing 2546 by 506, we get 5 with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 10605.0
Subtract 2530 from 2546 to get 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 506

Advancing to step 8:
506 goes into 168 0 times with a remainder of 168.
The next digit of our result is 0. 
Result so far: 106050.0
If we take 0 away from 168, we end up with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

On to step 9:
1680 divided by 506 is 3 with a remainder of 162.
The next digit of our result is 3. 
Result so far: 106050.3
If we subtract 1518 from 1680, we get 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

On to step 10:
506 can be fit into 1620 3 times, resulting in a remainder of 102.
The next digit of our result is 3. 
Result so far: 106050.33
The remainder is 102 after subtracting 1518 from 1620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

After the division, we end up with 106050.33 and a remainder of 0.102.