1553014 ÷ 663 
Our goal is to divide 1553014 by 663.

Let's proceed to step 1:
663 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 663

Going ahead to step 2:
663 can be fit into 15 0 times, resulting in a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Fetch the next digit (5) from the dividend, attach it to 15 and continue: 155 / 663

Advancing to step 3:
When dividing 155 by 663, we get 0 with a remainder of 155.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 155 to get 155.
Include the next digit (3) from the dividend after 155, then repeat: 1553 / 663

Let's proceed to step 4:
The number 663 fits into 1553 2 times, leaving a remainder of 227.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 1326 from 1553 to get 227.
Include the next digit (0) from the dividend after 227, then repeat: 2270 / 663

Advancing to step 5:
663 goes into 2270 3 times with a remainder of 281.
Use 3 as the next digit of our solution. 
Result so far: 23.0
If we subtract 1989 from 2270, we get 281.
Fetch the next digit (1) from the dividend, attach it to 281 and continue: 2811 / 663

Let's proceed to step 6:
663 can be fit into 2811 4 times, resulting in a remainder of 159.
The next digit of our result is 4. 
Result so far: 234.0
Subtract 2652 from 2811 to get 159.
Bring next digit (4) of the dividend behind the 159 and repeat the process: 1594 / 663

Moving on to step 7:
The number 663 fits into 1594 2 times, leaving a remainder of 268.
Use 2 as the next digit of our solution. 
Result so far: 2342.0
If we subtract 1326 from 1594, we get 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Going ahead to step 8:
The number 663 fits into 2680 4 times, leaving a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 2342.4
Subtract 2652 from 2680 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
663 can be fit into 280 0 times, resulting in a remainder of 280.
Write down 0 as next digit of the result. 
Result so far: 2342.4
Deduct 0 from 280 and we're left with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Going ahead to step 10:
When dividing 2800 by 663, we get 4 with a remainder of 148.
Use 4 as the next digit of our solution. 
Result so far: 2342.404
The remainder is 148 after subtracting 2652 from 2800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Step 11:
663 can be fit into 1480 2 times, resulting in a remainder of 154.
The number 2 becomes the next digit in our result. 
Result so far: 2342.4042
Deduct 1326 from 1480 and we're left with 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Step 12:
663 goes into 1540 2 times with a remainder of 214.
Write down 2 as next digit of the result. 
Result so far: 2342.40422
If we take 1326 away from 1540, we end up with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

The final outcome is 2342.40422, with a leftover of 0.000214.