5634539 ÷ 303 
Our goal is to divide 5634539 by 303.

Let's proceed to step 1:
303 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 303

Step 2:
If we divide 56 by 303, we get 0 and a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Include the next digit (3) from the dividend after 56, then repeat: 563 / 303

Step 3:
563 divided by 303 is 1 with a remainder of 260.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 303 from 563, we get 260.
Grab the next digit (4) from the dividend, add it to 260, then carry on: 2604 / 303

Advancing to step 4:
The number 303 fits into 2604 8 times, leaving a remainder of 180.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
If we subtract 2424 from 2604, we get 180.
Grab the next digit (5) from the dividend, add it to 180, then carry on: 1805 / 303

Moving on to step 5:
303 can be fit into 1805 5 times, resulting in a remainder of 290.
The number 5 becomes the next digit in our result. 
Result so far: 185.0
Subtracting 1515 from 1805 leaves us with 290.
Fetch the next digit (3) from the dividend, attach it to 290 and continue: 2903 / 303

Advancing to step 6:
303 can be fit into 2903 9 times, resulting in a remainder of 176.
Put 9 as the next digit of the answer. 
Result so far: 1859.0
Subtract 2727 from 2903 to get 176.
Bring next digit (9) of the dividend behind the 176 and repeat the process: 1769 / 303

Let's proceed to step 7:
303 goes into 1769 5 times with a remainder of 254.
Record the quotient 5 as the next digit in the result. 
Result so far: 18595.0
If we subtract 1515 from 1769, we get 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

Going ahead to step 8:
303 can be fit into 2540 8 times, resulting in a remainder of 116.
Use 8 as the next digit of our solution. 
Result so far: 18595.8
Subtract 2424 from 2540 to get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Advancing to step 9:
If we divide 1160 by 303, we get 3 and a remainder of 251.
The next digit of our result is 3. 
Result so far: 18595.83
Deduct 909 from 1160 and we're left with 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

Let's proceed to step 10:
303 goes into 2510 8 times with a remainder of 86.
The number 8 becomes the next digit in our result. 
Result so far: 18595.838
Deduct 2424 from 2510 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 11:
If we divide 860 by 303, we get 2 and a remainder of 254.
Put 2 as the next digit of the answer. 
Result so far: 18595.8382
If we take 606 away from 860, we end up with 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

Advancing to step 12:
If we divide 2540 by 303, we get 8 and a remainder of 116.
Put 8 as the next digit of the answer. 
Result so far: 18595.83828
Subtract 2424 from 2540 to get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Step 13:
303 goes into 1160 3 times with a remainder of 251.
Record the quotient 3 as the next digit in the result. 
Result so far: 18595.838283
Deduct 909 from 1160 and we're left with 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

Let's proceed to step 14:
303 can be fit into 2510 8 times, resulting in a remainder of 86.
Put 8 as the next digit of the answer. 
Result so far: 18595.8382838
Subtract 2424 from 2510 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 15:
When dividing 860 by 303, we get 2 with a remainder of 254.
Put 2 as the next digit of the answer. 
Result so far: 18595.83828382
If we subtract 606 from 860, we get 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

The final result is 18595.83828382 with a remainder of 2.54e-07.