759997 ÷ 422 
The aim is to understand the frequency of 422 in 759997.

Going ahead to step 1:
7 divided by 422 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 422

Moving on to step 2:
422 goes into 75 0 times with a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Include the next digit (9) from the dividend after 75, then repeat: 759 / 422

Let's proceed to step 3:
422 goes into 759 1 times with a remainder of 337.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 422 from 759 leaves us with 337.
Take the next digit (9) from the dividend and append it to 337, then repeat: 3379 / 422

Advancing to step 4:
422 goes into 3379 8 times with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Deduct 3376 from 3379 and we're left with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 422

Let's proceed to step 5:
If we divide 39 by 422, we get 0 and a remainder of 39.
Put 0 as the next digit of the answer. 
Result so far: 180.0
Subtract 0 from 39 to get 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 422

Moving on to step 6:
397 divided by 422 is 0 with a remainder of 397.
Use 0 as the next digit of our solution. 
Result so far: 1800.0
If we subtract 0 from 397, we get 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Moving on to step 7:
When dividing 3970 by 422, we get 9 with a remainder of 172.
Record the quotient 9 as the next digit in the result. 
Result so far: 1800.9
Subtract 3798 from 3970 to get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

On to step 8:
422 can be fit into 1720 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 1800.94
The remainder is 32 after subtracting 1688 from 1720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
422 goes into 320 0 times with a remainder of 320.
Use 0 as the next digit of our solution. 
Result so far: 1800.94
Deduct 0 from 320 and we're left with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Going ahead to step 10:
422 goes into 3200 7 times with a remainder of 246.
Put 7 as the next digit of the answer. 
Result so far: 1800.9407
Subtracting 2954 from 3200 leaves us with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Moving on to step 11:
422 goes into 2460 5 times with a remainder of 350.
Write down 5 as next digit of the result. 
Result so far: 1800.94075
Subtracting 2110 from 2460 leaves us with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Advancing to step 12:
422 goes into 3500 8 times with a remainder of 124.
The number 8 becomes the next digit in our result. 
Result so far: 1800.940758
Deduct 3376 from 3500 and we're left with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Let's proceed to step 13:
422 goes into 1240 2 times with a remainder of 396.
Put 2 as the next digit of the answer. 
Result so far: 1800.9407582
Deduct 844 from 1240 and we're left with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Advancing to step 14:
422 goes into 3960 9 times with a remainder of 162.
Record the quotient 9 as the next digit in the result. 
Result so far: 1800.94075829
The remainder is 162 after subtracting 3798 from 3960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

In conclusion, the division gives 1800.94075829 with a balance of 1.62e-07.