We're dividing 37837 by 63 
We're looking to find how many times 63 goes into 37837.

On to step 1:
The number 63 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 63

Step 2:
37 divided by 63 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Fetch the next digit (8) from the dividend, attach it to 37 and continue: 378 / 63

Going ahead to step 3:
378 divided by 63 is 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 0 after subtracting 378 from 378.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 63

On to step 4:
When dividing 3 by 63, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 60.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 63

Step 5:
37 divided by 63 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 600.0
The remainder is 37 after subtracting 0 from 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 6:
The number 63 fits into 370 5 times, leaving a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 600.5
Deduct 315 from 370 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
63 can be fit into 550 8 times, resulting in a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 600.58
Deduct 504 from 550 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
If we divide 460 by 63, we get 7 and a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 600.587
The remainder is 19 after subtracting 441 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
63 can be fit into 190 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 600.5873
Deduct 189 from 190 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
10 divided by 63 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 600.5873
Deduct 0 from 10 and we're left 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.

Let's proceed to step 11:
100 divided by 63 is 1 with a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 600.587301
If we subtract 63 from 100, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 12:
63 can be fit into 370 5 times, resulting in a remainder of 55.
The next digit of our result is 5. 
Result so far: 600.5873015
If we take 315 away from 370, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 13:
63 can be fit into 550 8 times, resulting in a remainder of 46.
The next digit of our result is 8. 
Result so far: 600.58730158
The remainder is 46 after subtracting 504 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

In conclusion, the division gives 600.58730158 with a balance of 4.6e-08.