45419180 ÷ 825 
We want to figure out the number of times 45419180 can be divided by 825.

Advancing to step 1:
The number 825 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 825

On to step 2:
45 divided by 825 is 0 with a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 45, we get 45.
Bring next digit (4) of the dividend behind the 45 and repeat the process: 454 / 825

Step 3:
825 goes into 454 0 times with a remainder of 454.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 454, we get 454.
Grab the next digit (1) from the dividend, add it to 454, then carry on: 4541 / 825

Advancing to step 4:
4541 divided by 825 is 5 with a remainder of 416.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 4125 away from 4541, we end up with 416.
Take the next digit (9) from the dividend and append it to 416, then repeat: 4169 / 825

Step 5:
825 goes into 4169 5 times with a remainder of 44.
Use 5 as the next digit of our solution. 
Result so far: 55.0
If we subtract 4125 from 4169, we get 44.
Fetch the next digit (1) from the dividend, attach it to 44 and continue: 441 / 825

Moving on to step 6:
825 goes into 441 0 times with a remainder of 441.
Record the quotient 0 as the next digit in the result. 
Result so far: 550.0
Subtract 0 from 441 to get 441.
Bring next digit (8) of the dividend behind the 441 and repeat the process: 4418 / 825

On to step 7:
825 can be fit into 4418 5 times, resulting in a remainder of 293.
Use 5 as the next digit of our solution. 
Result so far: 5505.0
If we take 4125 away from 4418, we end up with 293.
Include the next digit (0) from the dividend after 293, then repeat: 2930 / 825

Let's proceed to step 8:
The number 825 fits into 2930 3 times, leaving a remainder of 455.
The number 3 becomes the next digit in our result. 
Result so far: 55053.0
Subtracting 2475 from 2930 leaves us with 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Step 9:
When dividing 4550 by 825, we get 5 with a remainder of 425.
Record the quotient 5 as the next digit in the result. 
Result so far: 55053.5
If we take 4125 away from 4550, we end up with 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

On to step 10:
If we divide 4250 by 825, we get 5 and a remainder of 125.
Write down 5 as next digit of the result. 
Result so far: 55053.55
Subtracting 4125 from 4250 leaves us with 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Our division results in 55053.55 with a remaining 0.125.