We look at the division of 2592264 by 145 
We're looking to find how many times 145 goes into 2592264.

Step 1:
145 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 145

Step 2:
145 can be fit into 25 0 times, resulting in a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 145

Advancing to step 3:
When dividing 259 by 145, we get 1 with a remainder of 114.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 114 after subtracting 145 from 259.
Take the next digit (2) from the dividend and append it to 114, then repeat: 1142 / 145

On to step 4:
If we divide 1142 by 145, we get 7 and a remainder of 127.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtract 1015 from 1142 to get 127.
Take the next digit (2) from the dividend and append it to 127, then repeat: 1272 / 145

Advancing to step 5:
145 can be fit into 1272 8 times, resulting in a remainder of 112.
Write down 8 as next digit of the result. 
Result so far: 178.0
If we subtract 1160 from 1272, we get 112.
Append the next digit (6) from the dividend to 112 and continue with: 1126 / 145

Moving on to step 6:
If we divide 1126 by 145, we get 7 and a remainder of 111.
Put 7 as the next digit of the answer. 
Result so far: 1787.0
Subtract 1015 from 1126 to get 111.
Bring next digit (4) of the dividend behind the 111 and repeat the process: 1114 / 145

Advancing to step 7:
145 can be fit into 1114 7 times, resulting in a remainder of 99.
Use 7 as the next digit of our solution. 
Result so far: 17877.0
Subtract 1015 from 1114 to get 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Step 8:
145 can be fit into 990 6 times, resulting in a remainder of 120.
The number 6 becomes the next digit in our result. 
Result so far: 17877.6
Subtracting 870 from 990 leaves us 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.

Let's proceed to step 9:
145 can be fit into 1200 8 times, resulting in a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 17877.68
Subtract 1160 from 1200 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
When dividing 400 by 145, we get 2 with a remainder of 110.
Write down 2 as next digit of the result. 
Result so far: 17877.682
If we take 290 away from 400, we end up with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Going ahead to step 11:
145 goes into 1100 7 times with a remainder of 85.
Write down 7 as next digit of the result. 
Result so far: 17877.6827
Subtracting 1015 from 1100 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Let's proceed to step 12:
145 can be fit into 850 5 times, resulting in a remainder of 125.
The next digit of our result is 5. 
Result so far: 17877.68275
If we subtract 725 from 850, we get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Moving on to step 13:
145 goes into 1250 8 times with a remainder of 90.
Write down 8 as next digit of the result. 
Result so far: 17877.682758
If we take 1160 away from 1250, we end up 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.

Advancing to step 14:
145 goes into 900 6 times with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 17877.6827586
If we subtract 870 from 900, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 15:
The number 145 fits into 300 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 17877.68275862
Subtracting 290 from 300 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 17877.68275862 with a remaining 1e-08.