35420979 ÷ 523 
The aim is to understand the frequency of 523 in 35420979.

On to step 1:
When dividing 3 by 523, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 523

Advancing to step 2:
When dividing 35 by 523, we get 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Append the next digit (4) from the dividend to 35 and continue with: 354 / 523

Moving on to step 3:
523 can be fit into 354 0 times, resulting in a remainder of 354.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 354, we get 354.
Append the next digit (2) from the dividend to 354 and continue with: 3542 / 523

On to step 4:
The number 523 fits into 3542 6 times, leaving a remainder of 404.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 3138 from 3542, we get 404.
Bring next digit (0) of the dividend behind the 404 and repeat the process: 4040 / 523

Advancing to step 5:
When dividing 4040 by 523, we get 7 with a remainder of 379.
Use 7 as the next digit of our solution. 
Result so far: 67.0
The remainder is 379 after subtracting 3661 from 4040.
Bring next digit (9) of the dividend behind the 379 and repeat the process: 3799 / 523

Advancing to step 6:
If we divide 3799 by 523, we get 7 and a remainder of 138.
The next digit of our result is 7. 
Result so far: 677.0
If we subtract 3661 from 3799, we get 138.
Take the next digit (7) from the dividend and append it to 138, then repeat: 1387 / 523

Step 7:
523 can be fit into 1387 2 times, resulting in a remainder of 341.
Use 2 as the next digit of our solution. 
Result so far: 6772.0
Subtract 1046 from 1387 to get 341.
Take the next digit (9) from the dividend and append it to 341, then repeat: 3419 / 523

Let's proceed to step 8:
3419 divided by 523 is 6 with a remainder of 281.
The next digit of our result is 6. 
Result so far: 67726.0
Subtract 3138 from 3419 to get 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Going ahead to step 9:
The number 523 fits into 2810 5 times, leaving a remainder of 195.
The number 5 becomes the next digit in our result. 
Result so far: 67726.5
Subtracting 2615 from 2810 leaves us with 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

Moving on to step 10:
When dividing 1950 by 523, we get 3 with a remainder of 381.
The next digit of our result is 3. 
Result so far: 67726.53
Deduct 1569 from 1950 and we're left with 381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3810, and continue the process.

Step 11:
3810 divided by 523 is 7 with a remainder of 149.
Use 7 as the next digit of our solution. 
Result so far: 67726.537
Deduct 3661 from 3810 and we're left with 149.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1490, and continue the process.

On to step 12:
523 goes into 1490 2 times with a remainder of 444.
Use 2 as the next digit of our solution. 
Result so far: 67726.5372
Deduct 1046 from 1490 and we're left with 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Moving on to step 13:
When dividing 4440 by 523, we get 8 with a remainder of 256.
Write down 8 as next digit of the result. 
Result so far: 67726.53728
If we take 4184 away from 4440, we end up with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Moving on to step 14:
If we divide 2560 by 523, we get 4 and a remainder of 468.
Use 4 as the next digit of our solution. 
Result so far: 67726.537284
If we subtract 2092 from 2560, we get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Moving on to step 15:
523 can be fit into 4680 8 times, resulting in a remainder of 496.
Write down 8 as next digit of the result. 
Result so far: 67726.5372848
Deduct 4184 from 4680 and we're left with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Going ahead to step 16:
When dividing 4960 by 523, we get 9 with a remainder of 253.
Record the quotient 9 as the next digit in the result. 
Result so far: 67726.53728489
Deduct 4707 from 4960 and we're left with 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

In conclusion, the division gives 67726.53728489 with a balance of 2.53e-07.