37801 ÷ 25 
Our goal is to divide 37801 by 25.

Advancing to step 1:
When dividing 3 by 25, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 25

Going ahead to step 2:
When dividing 37 by 25, we get 1 with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 25 from 37 and we're left with 12.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 25

Moving on to step 3:
When dividing 128 by 25, we get 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 125 away from 128, we end up with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 25

Advancing to step 4:
25 goes into 30 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 151.0
Deduct 25 from 30 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 25

On to step 5:
When dividing 51 by 25, we get 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 1512.0
If we take 50 away from 51, we end up 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 6:
10 divided by 25 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1512.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
The number 25 fits into 100 4 times, leaving a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 1512.04
The remainder is 0 after subtracting 100 from 100.
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 8:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1512.04
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.

Step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1512.04
Subtracting 0 from 0 leaves us 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 1512.04 with a balance of 0.0.