678310 ÷ 45 
The aim is to understand the frequency of 45 in 678310.

Advancing to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 45

Let's proceed to step 2:
When dividing 67 by 45, we get 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 45 from 67, we get 22.
Append the next digit (8) from the dividend to 22 and continue with: 228 / 45

Going ahead to step 3:
45 goes into 228 5 times with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 225 from 228 to get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 45

Advancing to step 4:
The number 45 fits into 33 0 times, leaving a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 150.0
If we subtract 0 from 33, we get 33.
Fetch the next digit (1) from the dividend, attach it to 33 and continue: 331 / 45

Advancing to step 5:
The number 45 fits into 331 7 times, leaving a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 1507.0
The remainder is 16 after subtracting 315 from 331.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 45

Moving on to step 6:
If we divide 160 by 45, we get 3 and a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 15073.0
Deduct 135 from 160 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 15073.5
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 15073.55
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 15073.55 with a remainder of 0.025.