Let's divide 637519 by 4
We want to divide 637519 by 4.

On to step 1:
6 divided by 4 is 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 4 from 6 to get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 4

On to step 2:
4 can be fit into 23 5 times, resulting in a remainder of 3.
The next digit of our result is 5. 
Result so far: 15.0
If we take 20 away from 23, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 4

Let's proceed 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
Subtract 36 from 37 to get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 4

Moving on to step 4:
15 divided by 4 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 1593.0
Deduct 12 from 15 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 4

Going ahead to step 5:
31 divided by 4 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 15937.0
Subtract 28 from 31 to get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 4

Let's proceed to step 6:
39 divided by 4 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 159379.0
Deduct 36 from 39 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 4 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 159379.7
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
The number 4 fits into 20 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 159379.75
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.

Step 9:
If we divide 0 by 4, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 159379.75
Deduct 0 from 0 and we're left 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.

Advancing to step 10:
The number 4 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 159379.75
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.

In conclusion, the division gives 159379.75 with a balance of 0.0.