We look at the division of 38402610 by 144 
Our goal is to divide 38402610 by 144.

On to step 1:
If we divide 3 by 144, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 144

On to step 2:
If we divide 38 by 144, we get 0 and a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 144

Going ahead to step 3:
144 can be fit into 384 2 times, resulting in a remainder of 96.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 288 from 384 and we're left with 96.
Grab the next digit (0) from the dividend, add it to 96, then carry on: 960 / 144

Going ahead to step 4:
When dividing 960 by 144, we get 6 with a remainder of 96.
Write down 6 as next digit of the result. 
Result so far: 26.0
If we take 864 away from 960, we end up with 96.
Bring next digit (2) of the dividend behind the 96 and repeat the process: 962 / 144

Advancing to step 5:
If we divide 962 by 144, we get 6 and a remainder of 98.
Use 6 as the next digit of our solution. 
Result so far: 266.0
The remainder is 98 after subtracting 864 from 962.
Append the next digit (6) from the dividend to 98 and continue with: 986 / 144

Step 6:
986 divided by 144 is 6 with a remainder of 122.
Write down 6 as next digit of the result. 
Result so far: 2666.0
Subtracting 864 from 986 leaves us with 122.
Append the next digit (1) from the dividend to 122 and continue with: 1221 / 144

On to step 7:
If we divide 1221 by 144, we get 8 and a remainder of 69.
The next digit of our result is 8. 
Result so far: 26668.0
If we subtract 1152 from 1221, we get 69.
Fetch the next digit (0) from the dividend, attach it to 69 and continue: 690 / 144

Step 8:
690 divided by 144 is 4 with a remainder of 114.
The number 4 becomes the next digit in our result. 
Result so far: 266684.0
The remainder is 114 after subtracting 576 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Advancing to step 9:
When dividing 1140 by 144, we get 7 with a remainder of 132.
Put 7 as the next digit of the answer. 
Result so far: 266684.7
Deduct 1008 from 1140 and we're left 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.

Step 10:
144 can be fit into 1320 9 times, resulting in a remainder of 24.
The next digit of our result is 9. 
Result so far: 266684.79
Subtracting 1296 from 1320 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
144 can be fit into 240 1 times, resulting in a remainder of 96.
The next digit of our result is 1. 
Result so far: 266684.791
If we subtract 144 from 240, we get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Going ahead to step 12:
144 goes into 960 6 times with a remainder of 96.
Put 6 as the next digit of the answer. 
Result so far: 266684.7916
The remainder is 96 after subtracting 864 from 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Step 13:
When dividing 960 by 144, we get 6 with a remainder of 96.
Put 6 as the next digit of the answer. 
Result so far: 266684.79166
If we take 864 away from 960, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

The final outcome is 266684.79166, with a leftover of 9.6e-05.