15908 ÷ 40 
The aim is to understand the frequency of 40 in 15908.

Let's proceed to step 1:
The number 40 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 40

Step 2:
40 can be fit into 15 0 times, resulting in a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 40

Advancing to step 3:
40 can be fit into 159 3 times, resulting in a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 120 from 159 to get 39.
Fetch the next digit (0) from the dividend, attach it to 39 and continue: 390 / 40

Going ahead to step 4:
The number 40 fits into 390 9 times, leaving a remainder of 30.
The next digit of our result is 9. 
Result so far: 39.0
If we take 360 away from 390, we end up with 30.
Append the next digit (8) from the dividend to 30 and continue with: 308 / 40

Moving on to step 5:
When dividing 308 by 40, we get 7 with a remainder of 28.
The number 7 becomes the next digit in our result. 
Result so far: 397.0
If we take 280 away from 308, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 6:
When dividing 280 by 40, we get 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 397.7
Deduct 280 from 280 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
40 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 397.7
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 40, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 397.7
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 397.7, with a leftover of 0.0.