438766 ÷ 157 
The aim is to understand the frequency of 157 in 438766.

Let's proceed to step 1:
157 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 157

On to step 2:
When dividing 43 by 157, we get 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Append the next digit (8) from the dividend to 43 and continue with: 438 / 157

Going ahead to step 3:
157 goes into 438 2 times with a remainder of 124.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 314 from 438 leaves us with 124.
Grab the next digit (7) from the dividend, add it to 124, then carry on: 1247 / 157

Going ahead to step 4:
1247 divided by 157 is 7 with a remainder of 148.
The next digit of our result is 7. 
Result so far: 27.0
Subtract 1099 from 1247 to get 148.
Append the next digit (6) from the dividend to 148 and continue with: 1486 / 157

On to step 5:
1486 divided by 157 is 9 with a remainder of 73.
Put 9 as the next digit of the answer. 
Result so far: 279.0
The remainder is 73 after subtracting 1413 from 1486.
Append the next digit (6) from the dividend to 73 and continue with: 736 / 157

Going ahead to step 6:
When dividing 736 by 157, we get 4 with a remainder of 108.
The next digit of our result is 4. 
Result so far: 2794.0
Subtract 628 from 736 to get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

On to step 7:
157 can be fit into 1080 6 times, resulting in a remainder of 138.
The next digit of our result is 6. 
Result so far: 2794.6
Deduct 942 from 1080 and we're left with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Going ahead to step 8:
If we divide 1380 by 157, we get 8 and a remainder of 124.
The next digit of our result is 8. 
Result so far: 2794.68
Subtracting 1256 from 1380 leaves us 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.

Advancing to step 9:
The number 157 fits into 1240 7 times, leaving a remainder of 141.
Put 7 as the next digit of the answer. 
Result so far: 2794.687
If we take 1099 away from 1240, we end up with 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Going ahead to step 10:
157 can be fit into 1410 8 times, resulting in a remainder of 154.
Use 8 as the next digit of our solution. 
Result so far: 2794.6878
Deduct 1256 from 1410 and we're left with 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Moving on to step 11:
157 can be fit into 1540 9 times, resulting in a remainder of 127.
Write down 9 as next digit of the result. 
Result so far: 2794.68789
Deduct 1413 from 1540 and we're left with 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

On to step 12:
When dividing 1270 by 157, we get 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 2794.687898
Subtracting 1256 from 1270 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
If we divide 140 by 157, we get 0 and a remainder of 140.
Record the quotient 0 as the next digit in the result. 
Result so far: 2794.687898
Deduct 0 from 140 and we're left with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

On to step 14:
157 can be fit into 1400 8 times, resulting in a remainder of 144.
The number 8 becomes the next digit in our result. 
Result so far: 2794.68789808
If we subtract 1256 from 1400, we get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

After the division, we end up with 2794.68789808 and a remainder of 1.44e-07.