We look at the division of 10266258 by 144 
We're looking to find how many times 144 goes into 10266258.

Going ahead to step 1:
When dividing 1 by 144, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 144

Moving on to step 2:
144 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 144

Going ahead to step 3:
The number 144 fits into 102 0 times, leaving a remainder of 102.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 102 after subtracting 0 from 102.
Bring next digit (6) of the dividend behind the 102 and repeat the process: 1026 / 144

On to step 4:
When dividing 1026 by 144, we get 7 with a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 1008 from 1026 and we're left with 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 144

On to step 5:
The number 144 fits into 186 1 times, leaving a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 71.0
If we subtract 144 from 186, we get 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 144

Let's proceed to step 6:
422 divided by 144 is 2 with a remainder of 134.
Use 2 as the next digit of our solution. 
Result so far: 712.0
Subtracting 288 from 422 leaves us with 134.
Fetch the next digit (5) from the dividend, attach it to 134 and continue: 1345 / 144

Let's proceed to step 7:
144 can be fit into 1345 9 times, resulting in a remainder of 49.
The next digit of our result is 9. 
Result so far: 7129.0
If we take 1296 away from 1345, we end up with 49.
Append the next digit (8) from the dividend to 49 and continue with: 498 / 144

Step 8:
144 can be fit into 498 3 times, resulting in a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 71293.0
Deduct 432 from 498 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 9:
If we divide 660 by 144, we get 4 and a remainder of 84.
Put 4 as the next digit of the answer. 
Result so far: 71293.4
Subtract 576 from 660 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 10:
The number 144 fits into 840 5 times, leaving a remainder of 120.
Put 5 as the next digit of the answer. 
Result so far: 71293.45
Deduct 720 from 840 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Advancing to step 11:
144 goes into 1200 8 times with a remainder of 48.
The next digit of our result is 8. 
Result so far: 71293.458
Subtracting 1152 from 1200 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:
The number 144 fits into 480 3 times, leaving a remainder of 48.
The next digit of our result is 3. 
Result so far: 71293.4583
Subtracting 432 from 480 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.

Let's proceed to step 13:
144 can be fit into 480 3 times, resulting in a remainder of 48.
Use 3 as the next digit of our solution. 
Result so far: 71293.45833
Deduct 432 from 480 and we're left 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.

The quotient of the division is 71293.45833, and the remainder is 4.8e-05.