We're dividing 637237 by 4 
We're looking to find how many times 4 goes into 637237.

Step 1:
The number 4 fits into 6 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 4 from 6 leaves us with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 4

Moving on to step 2:
4 can be fit into 23 5 times, resulting in a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 20 away from 23, we end up with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 4

Advancing to step 3:
If we divide 37 by 4, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 159.0
If we subtract 36 from 37, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 4

Let's proceed to step 4:
If we divide 12 by 4, we get 3 and a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 1593.0
Deduct 12 from 12 and we're left with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 4

Advancing to step 5:
When dividing 3 by 4, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 15930.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 6:
The number 4 fits into 37 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 159309.0
Deduct 36 from 37 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.

Advancing to step 7:
4 goes into 10 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 159309.2
Subtract 8 from 10 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
The number 4 fits into 20 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 159309.25
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
When dividing 0 by 4, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 159309.25
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
4 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 159309.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 159309.25, with a leftover of 0.0.