554303 divided by 37 
Our goal is to divide 554303 by 37.

On to step 1:
37 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 37

Moving on to step 2:
37 goes into 55 1 times with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 37 from 55 and we're left with 18.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 37

On to step 3:
The number 37 fits into 184 4 times, leaving a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 148 from 184 to get 36.
Fetch the next digit (3) from the dividend, attach it to 36 and continue: 363 / 37

On to step 4:
363 divided by 37 is 9 with a remainder of 30.
The number 9 becomes the next digit in our result. 
Result so far: 149.0
The remainder is 30 after subtracting 333 from 363.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 37

Let's proceed to step 5:
If we divide 300 by 37, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 1498.0
If we subtract 296 from 300, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 37

Moving on to step 6:
43 divided by 37 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 14981.0
Deduct 37 from 43 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
If we divide 60 by 37, we get 1 and a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 14981.1
The remainder is 23 after subtracting 37 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
If we divide 230 by 37, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 14981.16
If we take 222 away from 230, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
37 goes into 80 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 14981.162
Subtracting 74 from 80 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
The number 37 fits into 60 1 times, leaving a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 14981.1621
Subtracting 37 from 60 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 11:
The number 37 fits into 230 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 14981.16216
The remainder is 8 after subtracting 222 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
37 can be fit into 80 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 14981.162162
Subtracting 74 from 80 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
When dividing 60 by 37, we get 1 with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 14981.1621621
If we subtract 37 from 60, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 14:
If we divide 230 by 37, we get 6 and a remainder of 8.
The next digit of our result is 6. 
Result so far: 14981.16216216
The remainder is 8 after subtracting 222 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 14981.16216216, and the remainder is 8e-09.