150 divided by 76 
The aim is to understand the frequency of 76 in 150.

On to step 1:
When dividing 1 by 76, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 76

On to step 2:
76 goes into 15 0 times with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 76

Advancing to step 3:
76 goes into 150 1 times with a remainder of 74.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 76 from 150 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 4:
740 divided by 76 is 9 with a remainder of 56.
Use 9 as the next digit of our solution. 
Result so far: 1.9
Subtract 684 from 740 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 5:
When dividing 560 by 76, we get 7 with a remainder of 28.
Use 7 as the next digit of our solution. 
Result so far: 1.97
If we take 532 away from 560, 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.

Step 6:
If we divide 280 by 76, we get 3 and a remainder of 52.
The number 3 becomes the next digit in our result. 
Result so far: 1.973
If we subtract 228 from 280, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 7:
76 goes into 520 6 times with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 1.9736
If we take 456 away from 520, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 8:
If we divide 640 by 76, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1.97368
If we subtract 608 from 640, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 9:
The number 76 fits into 320 4 times, leaving a remainder of 16.
The next digit of our result is 4. 
Result so far: 1.973684
If we take 304 away from 320, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
If we divide 160 by 76, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 1.9736842
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
80 divided by 76 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.97368421
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 1.97368421 with a balance of 4e-09.