We look at the division of 45668665 by 413 
We're looking to find how many times 413 goes into 45668665.

Let's proceed to step 1:
413 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 413

Advancing to step 2:
413 goes into 45 0 times with a remainder of 45.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 45 leaves us with 45.
Grab the next digit (6) from the dividend, add it to 45, then carry on: 456 / 413

Advancing to step 3:
If we divide 456 by 413, we get 1 and a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 413 from 456 to get 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 413

Moving on to step 4:
413 goes into 436 1 times with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 413 away from 436, we end up with 23.
Take the next digit (8) from the dividend and append it to 23, then repeat: 238 / 413

Let's proceed to step 5:
413 can be fit into 238 0 times, resulting in a remainder of 238.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
If we subtract 0 from 238, we get 238.
Bring next digit (6) of the dividend behind the 238 and repeat the process: 2386 / 413

On to step 6:
413 goes into 2386 5 times with a remainder of 321.
Record the quotient 5 as the next digit in the result. 
Result so far: 1105.0
If we subtract 2065 from 2386, we get 321.
Fetch the next digit (6) from the dividend, attach it to 321 and continue: 3216 / 413

Moving on to step 7:
3216 divided by 413 is 7 with a remainder of 325.
Record the quotient 7 as the next digit in the result. 
Result so far: 11057.0
Deduct 2891 from 3216 and we're left with 325.
Grab the next digit (5) from the dividend, add it to 325, then carry on: 3255 / 413

Advancing to step 8:
The number 413 fits into 3255 7 times, leaving a remainder of 364.
The next digit of our result is 7. 
Result so far: 110577.0
Subtract 2891 from 3255 to get 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Let's proceed to step 9:
3640 divided by 413 is 8 with a remainder of 336.
Record the quotient 8 as the next digit in the result. 
Result so far: 110577.8
Subtract 3304 from 3640 to get 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

On to step 10:
When dividing 3360 by 413, we get 8 with a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 110577.88
If we take 3304 away from 3360, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final result is 110577.88 with a remainder of 0.056.