74160501 ÷ 501 
The aim is to understand the frequency of 501 in 74160501.

Step 1:
501 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 501

Moving on to step 2:
74 divided by 501 is 0 with a remainder of 74.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Grab the next digit (1) from the dividend, add it to 74, then carry on: 741 / 501

Let's proceed to step 3:
741 divided by 501 is 1 with a remainder of 240.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 240 after subtracting 501 from 741.
Take the next digit (6) from the dividend and append it to 240, then repeat: 2406 / 501

Advancing to step 4:
501 can be fit into 2406 4 times, resulting in a remainder of 402.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we take 2004 away from 2406, we end up with 402.
Grab the next digit (0) from the dividend, add it to 402, then carry on: 4020 / 501

On to step 5:
The number 501 fits into 4020 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 148.0
If we subtract 4008 from 4020, we get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 501

Going ahead to step 6:
If we divide 125 by 501, we get 0 and a remainder of 125.
Write down 0 as next digit of the result. 
Result so far: 1480.0
Subtract 0 from 125 to get 125.
Include the next digit (0) from the dividend after 125, then repeat: 1250 / 501

On to step 7:
501 can be fit into 1250 2 times, resulting in a remainder of 248.
Record the quotient 2 as the next digit in the result. 
Result so far: 14802.0
If we take 1002 away from 1250, we end up with 248.
Bring next digit (1) of the dividend behind the 248 and repeat the process: 2481 / 501

Advancing to step 8:
If we divide 2481 by 501, we get 4 and a remainder of 477.
The number 4 becomes the next digit in our result. 
Result so far: 148024.0
The remainder is 477 after subtracting 2004 from 2481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4770, and continue the process.

Moving on to step 9:
501 can be fit into 4770 9 times, resulting in a remainder of 261.
Write down 9 as next digit of the result. 
Result so far: 148024.9
The remainder is 261 after subtracting 4509 from 4770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Advancing to step 10:
2610 divided by 501 is 5 with a remainder of 105.
Record the quotient 5 as the next digit in the result. 
Result so far: 148024.95
Subtract 2505 from 2610 to get 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Step 11:
501 can be fit into 1050 2 times, resulting in a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 148024.952
Subtracting 1002 from 1050 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 12:
501 can be fit into 480 0 times, resulting in a remainder of 480.
Write down 0 as next digit of the result. 
Result so far: 148024.952
The remainder is 480 after subtracting 0 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Moving on to step 13:
4800 divided by 501 is 9 with a remainder of 291.
Record the quotient 9 as the next digit in the result. 
Result so far: 148024.95209
If we take 4509 away from 4800, we end up with 291.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2910, and continue the process.

On to step 14:
501 can be fit into 2910 5 times, resulting in a remainder of 405.
The number 5 becomes the next digit in our result. 
Result so far: 148024.952095
Subtract 2505 from 2910 to get 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Moving on to step 15:
4050 divided by 501 is 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 148024.9520958
Subtract 4008 from 4050 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 16:
The number 501 fits into 420 0 times, leaving a remainder of 420.
The next digit of our result is 0. 
Result so far: 148024.9520958
Subtracting 0 from 420 leaves us with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

The final result is 148024.9520958 with a remainder of 4.2e-07.