We look at the division of 3006172 by 263 
We want to divide 3006172 by 263.

Going ahead to step 1:
The number 263 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 263

Let's proceed to step 2:
When dividing 30 by 263, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Bring next digit (0) of the dividend behind the 30 and repeat the process: 300 / 263

Step 3:
300 divided by 263 is 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 263 away from 300, we end up with 37.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 263

Moving on to step 4:
If we divide 376 by 263, we get 1 and a remainder of 113.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 263 from 376 to get 113.
Bring next digit (1) of the dividend behind the 113 and repeat the process: 1131 / 263

On to step 5:
1131 divided by 263 is 4 with a remainder of 79.
Put 4 as the next digit of the answer. 
Result so far: 114.0
Subtract 1052 from 1131 to get 79.
Fetch the next digit (7) from the dividend, attach it to 79 and continue: 797 / 263

Let's proceed to step 6:
If we divide 797 by 263, we get 3 and a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 1143.0
The remainder is 8 after subtracting 789 from 797.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 263

On to step 7:
82 divided by 263 is 0 with a remainder of 82.
Record the quotient 0 as the next digit in the result. 
Result so far: 11430.0
Subtracting 0 from 82 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 8:
820 divided by 263 is 3 with a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 11430.3
Subtract 789 from 820 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 9:
263 goes into 310 1 times with a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 11430.31
The remainder is 47 after subtracting 263 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 10:
263 goes into 470 1 times with a remainder of 207.
The next digit of our result is 1. 
Result so far: 11430.311
If we take 263 away from 470, we end up with 207.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

The quotient of the division is 11430.311, and the remainder is 0.0207.