We look at the division of 37259 by 63 
Let's see how many times 63 fits into 37259.

Advancing to step 1:
63 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 63

On to step 2:
The number 63 fits into 37 0 times, leaving a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Grab the next digit (2) from the dividend, add it to 37, then carry on: 372 / 63

Let's proceed to step 3:
The number 63 fits into 372 5 times, leaving a remainder of 57.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 315 from 372, we get 57.
Append the next digit (5) from the dividend to 57 and continue with: 575 / 63

Advancing to step 4:
The number 63 fits into 575 9 times, leaving a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we take 567 away from 575, we end up with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 63

Moving on to step 5:
If we divide 89 by 63, we get 1 and a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 591.0
Deduct 63 from 89 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 6:
260 divided by 63 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 591.4
Subtracting 252 from 260 leaves us 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.

Let's proceed to step 7:
When dividing 80 by 63, we get 1 with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 591.41
Subtract 63 from 80 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
The number 63 fits into 170 2 times, leaving a remainder of 44.
The next digit of our result is 2. 
Result so far: 591.412
Subtracting 126 from 170 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 9:
The number 63 fits into 440 6 times, leaving a remainder of 62.
Put 6 as the next digit of the answer. 
Result so far: 591.4126
The remainder is 62 after subtracting 378 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
63 goes into 620 9 times with a remainder of 53.
The number 9 becomes the next digit in our result. 
Result so far: 591.41269
The remainder is 53 after subtracting 567 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 11:
When dividing 530 by 63, we get 8 with a remainder of 26.
The next digit of our result is 8. 
Result so far: 591.412698
The remainder is 26 after subtracting 504 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 12:
260 divided by 63 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 591.4126984
If we take 252 away from 260, 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.

Step 13:
When dividing 80 by 63, we get 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 591.41269841
If we take 63 away from 80, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 591.41269841, with a leftover of 1.7e-08.