775419 ÷ 45 
We want to figure out the number of times 775419 can be divided by 45.

Moving on to step 1:
The number 45 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 45

Step 2:
45 can be fit into 77 1 times, resulting in a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 77 to get 32.
Fetch the next digit (5) from the dividend, attach it to 32 and continue: 325 / 45

Moving on to step 3:
The number 45 fits into 325 7 times, leaving a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we take 315 away from 325, we end up with 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 45

Moving on to step 4:
When dividing 104 by 45, we get 2 with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 172.0
If we take 90 away from 104, we end up with 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 45

Let's proceed to step 5:
45 can be fit into 141 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 1723.0
If we subtract 135 from 141, we get 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 45

On to step 6:
When dividing 69 by 45, we get 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 17231.0
If we take 45 away from 69, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
The number 45 fits into 240 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 17231.5
Subtract 225 from 240 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 17231.53
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 17231.533
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 17231.533 with a remainder of 0.0015.