We divide 90001414 by 101
The aim is to understand the frequency of 101 in 90001414.

Moving on to step 1:
If we divide 9 by 101, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 101

Going ahead to step 2:
When dividing 90 by 101, we get 0 with a remainder of 90.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 90 and we're left with 90.
Bring next digit (0) of the dividend behind the 90 and repeat the process: 900 / 101

Let's proceed to step 3:
The number 101 fits into 900 8 times, leaving a remainder of 92.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 808 from 900 and we're left with 92.
Grab the next digit (0) from the dividend, add it to 92, then carry on: 920 / 101

On to step 4:
920 divided by 101 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 89.0
Deduct 909 from 920 and we're left with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 101

Step 5:
When dividing 111 by 101, we get 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 891.0
If we subtract 101 from 111, we get 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 101

Advancing to step 6:
104 divided by 101 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 8911.0
If we take 101 away from 104, we end up with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 101

Advancing to step 7:
101 can be fit into 31 0 times, resulting in a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 89110.0
Subtract 0 from 31 to get 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 101

On to step 8:
If we divide 314 by 101, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 891103.0
Subtracting 303 from 314 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
110 divided by 101 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 891103.1
If we take 101 away from 110, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 10:
90 divided by 101 is 0 with a remainder of 90.
The next digit of our result is 0. 
Result so far: 891103.1
Deduct 0 from 90 and we're left with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 11:
900 divided by 101 is 8 with a remainder of 92.
Write down 8 as next digit of the result. 
Result so far: 891103.108
If we take 808 away from 900, we end up with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Moving on to step 12:
101 can be fit into 920 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 891103.1089
Subtract 909 from 920 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 13:
If we divide 110 by 101, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 891103.10891
The remainder is 9 after subtracting 101 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
The number 101 fits into 90 0 times, leaving a remainder of 90.
Record the quotient 0 as the next digit in the result. 
Result so far: 891103.10891
If we subtract 0 from 90, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 15:
The number 101 fits into 900 8 times, leaving a remainder of 92.
Use 8 as the next digit of our solution. 
Result so far: 891103.1089108
If we subtract 808 from 900, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Moving on to step 16:
920 divided by 101 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 891103.10891089
Subtracting 909 from 920 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 891103.10891089 with a remaining 1.1e-08.