We divide 10515970 by 825
The aim is to understand the frequency of 825 in 10515970.

On to step 1:
The number 825 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 825

Moving on to step 2:
If we divide 10 by 825, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 825

Moving on to step 3:
The number 825 fits into 105 0 times, leaving a remainder of 105.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 105, we end up with 105.
Append the next digit (1) from the dividend to 105 and continue with: 1051 / 825

On to step 4:
When dividing 1051 by 825, we get 1 with a remainder of 226.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 825 from 1051, we get 226.
Fetch the next digit (5) from the dividend, attach it to 226 and continue: 2265 / 825

Going ahead to step 5:
The number 825 fits into 2265 2 times, leaving a remainder of 615.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 1650 from 2265 and we're left with 615.
Grab the next digit (9) from the dividend, add it to 615, then carry on: 6159 / 825

Let's proceed to step 6:
If we divide 6159 by 825, we get 7 and a remainder of 384.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
If we subtract 5775 from 6159, we get 384.
Grab the next digit (7) from the dividend, add it to 384, then carry on: 3847 / 825

Step 7:
If we divide 3847 by 825, we get 4 and a remainder of 547.
Put 4 as the next digit of the answer. 
Result so far: 1274.0
Deduct 3300 from 3847 and we're left with 547.
Bring next digit (0) of the dividend behind the 547 and repeat the process: 5470 / 825

Going ahead to step 8:
The number 825 fits into 5470 6 times, leaving a remainder of 520.
The next digit of our result is 6. 
Result so far: 12746.0
Subtracting 4950 from 5470 leaves us with 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Going ahead to step 9:
The number 825 fits into 5200 6 times, leaving a remainder of 250.
Put 6 as the next digit of the answer. 
Result so far: 12746.6
If we subtract 4950 from 5200, we get 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Going ahead to step 10:
825 can be fit into 2500 3 times, resulting in a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 12746.63
If we subtract 2475 from 2500, we get 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 11:
If we divide 250 by 825, we get 0 and a remainder of 250.
Write down 0 as next digit of the result. 
Result so far: 12746.63
If we take 0 away from 250, we end up with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

On to step 12:
825 goes into 2500 3 times with a remainder of 25.
The next digit of our result is 3. 
Result so far: 12746.6303
Subtract 2475 from 2500 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 13:
If we divide 250 by 825, we get 0 and a remainder of 250.
Write down 0 as next digit of the result. 
Result so far: 12746.6303
If we take 0 away from 250, we end up with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

On to step 14:
825 can be fit into 2500 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 12746.630303
The remainder is 25 after subtracting 2475 from 2500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 15:
825 can be fit into 250 0 times, resulting in a remainder of 250.
Use 0 as the next digit of our solution. 
Result so far: 12746.630303
Subtracting 0 from 250 leaves us with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Moving on to step 16:
825 goes into 2500 3 times with a remainder of 25.
The next digit of our result is 3. 
Result so far: 12746.63030303
If we take 2475 away from 2500, 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.

After the division, we end up with 12746.63030303 and a remainder of 2.5e-08.