21301126 ÷ 501 
The aim is to understand the frequency of 501 in 21301126.

Moving on to step 1:
501 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 501

Going ahead to step 2:
If we divide 21 by 501, we get 0 and a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 501

Going ahead to step 3:
501 goes into 213 0 times with a remainder of 213.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 213 and we're left with 213.
Grab the next digit (0) from the dividend, add it to 213, then carry on: 2130 / 501

Step 4:
501 can be fit into 2130 4 times, resulting in a remainder of 126.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 2004 from 2130 to get 126.
Include the next digit (1) from the dividend after 126, then repeat: 1261 / 501

Step 5:
501 can be fit into 1261 2 times, resulting in a remainder of 259.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Deduct 1002 from 1261 and we're left with 259.
Bring next digit (1) of the dividend behind the 259 and repeat the process: 2591 / 501

Going ahead to step 6:
501 goes into 2591 5 times with a remainder of 86.
Record the quotient 5 as the next digit in the result. 
Result so far: 425.0
If we take 2505 away from 2591, we end up with 86.
Append the next digit (2) from the dividend to 86 and continue with: 862 / 501

Moving on to step 7:
If we divide 862 by 501, we get 1 and a remainder of 361.
Use 1 as the next digit of our solution. 
Result so far: 4251.0
If we subtract 501 from 862, we get 361.
Take the next digit (6) from the dividend and append it to 361, then repeat: 3616 / 501

Going ahead to step 8:
If we divide 3616 by 501, we get 7 and a remainder of 109.
Write down 7 as next digit of the result. 
Result so far: 42517.0
Subtract 3507 from 3616 to get 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

Advancing to step 9:
1090 divided by 501 is 2 with a remainder of 88.
Write down 2 as next digit of the result. 
Result so far: 42517.2
Subtracting 1002 from 1090 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 10:
If we divide 880 by 501, we get 1 and a remainder of 379.
Write down 1 as next digit of the result. 
Result so far: 42517.21
Deduct 501 from 880 and we're left with 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Advancing to step 11:
The number 501 fits into 3790 7 times, leaving a remainder of 283.
Write down 7 as next digit of the result. 
Result so far: 42517.217
Subtracting 3507 from 3790 leaves us with 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

Advancing to step 12:
501 can be fit into 2830 5 times, resulting in a remainder of 325.
Put 5 as the next digit of the answer. 
Result so far: 42517.2175
Subtract 2505 from 2830 to get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Advancing to step 13:
When dividing 3250 by 501, we get 6 with a remainder of 244.
The next digit of our result is 6. 
Result so far: 42517.21756
The remainder is 244 after subtracting 3006 from 3250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Advancing to step 14:
The number 501 fits into 2440 4 times, leaving a remainder of 436.
Put 4 as the next digit of the answer. 
Result so far: 42517.217564
Deduct 2004 from 2440 and we're left with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Going ahead to step 15:
When dividing 4360 by 501, we get 8 with a remainder of 352.
Use 8 as the next digit of our solution. 
Result so far: 42517.2175648
If we subtract 4008 from 4360, we get 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

On to step 16:
The number 501 fits into 3520 7 times, leaving a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 42517.21756487
Subtracting 3507 from 3520 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 42517.21756487 with a remainder of 1.3e-08.