977773 ÷ 45 
The aim is to understand the frequency of 45 in 977773.

Step 1:
The number 45 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 45

Moving on to step 2:
If we divide 97 by 45, we get 2 and a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 90 from 97, we get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 45

Let's proceed to step 3:
If we divide 77 by 45, we get 1 and a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 21.0
Subtracting 45 from 77 leaves us with 32.
Take the next digit (7) from the dividend and append it to 32, then repeat: 327 / 45

Moving on to step 4:
If we divide 327 by 45, we get 7 and a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 217.0
The remainder is 12 after subtracting 315 from 327.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 45

Advancing to step 5:
When dividing 127 by 45, we get 2 with a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 2172.0
If we subtract 90 from 127, we get 37.
Append the next digit (3) from the dividend to 37 and continue with: 373 / 45

On to step 6:
45 can be fit into 373 8 times, resulting in a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 21728.0
Subtracting 360 from 373 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
When dividing 130 by 45, we get 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 21728.2
If we take 90 away from 130, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
45 can be fit into 400 8 times, resulting in a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 21728.28
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 21728.288
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 21728.288, and the remainder is 0.004.