34519281 divided by 144 
The aim is to understand the frequency of 144 in 34519281.

Advancing to step 1:
144 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 144

Going ahead to step 2:
When dividing 34 by 144, we get 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Include the next digit (5) from the dividend after 34, then repeat: 345 / 144

Advancing to step 3:
144 can be fit into 345 2 times, resulting in a remainder of 57.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 57 after subtracting 288 from 345.
Grab the next digit (1) from the dividend, add it to 57, then carry on: 571 / 144

Moving on to step 4:
571 divided by 144 is 3 with a remainder of 139.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Deduct 432 from 571 and we're left with 139.
Fetch the next digit (9) from the dividend, attach it to 139 and continue: 1399 / 144

Advancing to step 5:
The number 144 fits into 1399 9 times, leaving a remainder of 103.
The next digit of our result is 9. 
Result so far: 239.0
If we subtract 1296 from 1399, we get 103.
Fetch the next digit (2) from the dividend, attach it to 103 and continue: 1032 / 144

Moving on to step 6:
144 can be fit into 1032 7 times, resulting in a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 2397.0
Subtracting 1008 from 1032 leaves us with 24.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 144

Step 7:
The number 144 fits into 248 1 times, leaving a remainder of 104.
The next digit of our result is 1. 
Result so far: 23971.0
The remainder is 104 after subtracting 144 from 248.
Fetch the next digit (1) from the dividend, attach it to 104 and continue: 1041 / 144

Going ahead to step 8:
The number 144 fits into 1041 7 times, leaving a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 239717.0
Subtracting 1008 from 1041 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 9:
144 goes into 330 2 times with a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 239717.2
Deduct 288 from 330 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
When dividing 420 by 144, we get 2 with a remainder of 132.
Put 2 as the next digit of the answer. 
Result so far: 239717.22
Subtracting 288 from 420 leaves us with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

The quotient of the division is 239717.22, and the remainder is 0.132.