91834523 divided by 871 
The aim is to understand the frequency of 871 in 91834523.

Advancing to step 1:
If we divide 9 by 871, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 871

Let's proceed to step 2:
91 divided by 871 is 0 with a remainder of 91.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 91 and we're left with 91.
Grab the next digit (8) from the dividend, add it to 91, then carry on: 918 / 871

Advancing to step 3:
When dividing 918 by 871, we get 1 with a remainder of 47.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 871 from 918 to get 47.
Bring next digit (3) of the dividend behind the 47 and repeat the process: 473 / 871

On to step 4:
473 divided by 871 is 0 with a remainder of 473.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 473 and we're left with 473.
Append the next digit (4) from the dividend to 473 and continue with: 4734 / 871

Moving on to step 5:
871 goes into 4734 5 times with a remainder of 379.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
Subtract 4355 from 4734 to get 379.
Include the next digit (5) from the dividend after 379, then repeat: 3795 / 871

Step 6:
The number 871 fits into 3795 4 times, leaving a remainder of 311.
The next digit of our result is 4. 
Result so far: 1054.0
Deduct 3484 from 3795 and we're left with 311.
Fetch the next digit (2) from the dividend, attach it to 311 and continue: 3112 / 871

Moving on to step 7:
When dividing 3112 by 871, we get 3 with a remainder of 499.
The next digit of our result is 3. 
Result so far: 10543.0
Subtract 2613 from 3112 to get 499.
Bring next digit (3) of the dividend behind the 499 and repeat the process: 4993 / 871

Moving on to step 8:
871 can be fit into 4993 5 times, resulting in a remainder of 638.
The next digit of our result is 5. 
Result so far: 105435.0
Subtracting 4355 from 4993 leaves us with 638.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6380, and continue the process.

Step 9:
871 can be fit into 6380 7 times, resulting in a remainder of 283.
Record the quotient 7 as the next digit in the result. 
Result so far: 105435.7
The remainder is 283 after subtracting 6097 from 6380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

Let's proceed to step 10:
If we divide 2830 by 871, we get 3 and a remainder of 217.
Use 3 as the next digit of our solution. 
Result so far: 105435.73
Deduct 2613 from 2830 and we're left with 217.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2170, and continue the process.

Advancing to step 11:
If we divide 2170 by 871, we get 2 and a remainder of 428.
Record the quotient 2 as the next digit in the result. 
Result so far: 105435.732
Deduct 1742 from 2170 and we're left with 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

Advancing to step 12:
871 can be fit into 4280 4 times, resulting in a remainder of 796.
Use 4 as the next digit of our solution. 
Result so far: 105435.7324
If we subtract 3484 from 4280, we get 796.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7960, and continue the process.

Going ahead to step 13:
871 goes into 7960 9 times with a remainder of 121.
The next digit of our result is 9. 
Result so far: 105435.73249
Deduct 7839 from 7960 and we're left with 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

Let's proceed to step 14:
If we divide 1210 by 871, we get 1 and a remainder of 339.
The number 1 becomes the next digit in our result. 
Result so far: 105435.732491
The remainder is 339 after subtracting 871 from 1210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

Let's proceed to step 15:
The number 871 fits into 3390 3 times, leaving a remainder of 777.
Record the quotient 3 as the next digit in the result. 
Result so far: 105435.7324913
If we take 2613 away from 3390, we end up with 777.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7770, and continue the process.

Moving on to step 16:
The number 871 fits into 7770 8 times, leaving a remainder of 802.
Use 8 as the next digit of our solution. 
Result so far: 105435.73249138
The remainder is 802 after subtracting 6968 from 7770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8020, and continue the process.

The final result is 105435.73249138 with a remainder of 8.02e-07.