7785455 divided by 945 
The aim is to understand the frequency of 945 in 7785455.

Let's proceed to step 1:
945 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 945

Step 2:
If we divide 77 by 945, we get 0 and a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Fetch the next digit (8) from the dividend, attach it to 77 and continue: 778 / 945

Going ahead to step 3:
The number 945 fits into 778 0 times, leaving a remainder of 778.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 778, we get 778.
Grab the next digit (5) from the dividend, add it to 778, then carry on: 7785 / 945

Going ahead to step 4:
If we divide 7785 by 945, we get 8 and a remainder of 225.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 7560 from 7785, we get 225.
Take the next digit (4) from the dividend and append it to 225, then repeat: 2254 / 945

Advancing to step 5:
If we divide 2254 by 945, we get 2 and a remainder of 364.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtracting 1890 from 2254 leaves us with 364.
Fetch the next digit (5) from the dividend, attach it to 364 and continue: 3645 / 945

Moving on to step 6:
945 goes into 3645 3 times with a remainder of 810.
Use 3 as the next digit of our solution. 
Result so far: 823.0
Subtract 2835 from 3645 to get 810.
Fetch the next digit (5) from the dividend, attach it to 810 and continue: 8105 / 945

Moving on to step 7:
8105 divided by 945 is 8 with a remainder of 545.
Put 8 as the next digit of the answer. 
Result so far: 8238.0
If we take 7560 away from 8105, we end up with 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5450, and continue the process.

On to step 8:
945 goes into 5450 5 times with a remainder of 725.
The number 5 becomes the next digit in our result. 
Result so far: 8238.5
Subtracting 4725 from 5450 leaves us with 725.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7250, and continue the process.

Let's proceed to step 9:
When dividing 7250 by 945, we get 7 with a remainder of 635.
The next digit of our result is 7. 
Result so far: 8238.57
Subtracting 6615 from 7250 leaves us with 635.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6350, and continue the process.

Advancing to step 10:
6350 divided by 945 is 6 with a remainder of 680.
The next digit of our result is 6. 
Result so far: 8238.576
Deduct 5670 from 6350 and we're left with 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

Moving on to step 11:
6800 divided by 945 is 7 with a remainder of 185.
Record the quotient 7 as the next digit in the result. 
Result so far: 8238.5767
If we take 6615 away from 6800, we end up with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Step 12:
1850 divided by 945 is 1 with a remainder of 905.
The next digit of our result is 1. 
Result so far: 8238.57671
Deduct 945 from 1850 and we're left with 905.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9050, and continue the process.

Advancing to step 13:
The number 945 fits into 9050 9 times, leaving a remainder of 545.
Put 9 as the next digit of the answer. 
Result so far: 8238.576719
Subtracting 8505 from 9050 leaves us with 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5450, and continue the process.

Let's proceed to step 14:
5450 divided by 945 is 5 with a remainder of 725.
The next digit of our result is 5. 
Result so far: 8238.5767195
Subtracting 4725 from 5450 leaves us with 725.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7250, and continue the process.

Advancing to step 15:
7250 divided by 945 is 7 with a remainder of 635.
Record the quotient 7 as the next digit in the result. 
Result so far: 8238.57671957
The remainder is 635 after subtracting 6615 from 7250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6350, and continue the process.

In conclusion, the division gives 8238.57671957 with a balance of 6.35e-07.