Let's divide 145371 by 37
Our goal is to divide 145371 by 37.

Advancing to step 1:
37 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 37

Moving on to step 2:
The number 37 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 37

Let's proceed to step 3:
If we divide 145 by 37, we get 3 and a remainder of 34.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 111 from 145, we get 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 37

Step 4:
37 can be fit into 343 9 times, resulting in a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Subtract 333 from 343 to get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 37

Moving on to step 5:
The number 37 fits into 107 2 times, leaving a remainder of 33.
The number 2 becomes the next digit in our result. 
Result so far: 392.0
Subtracting 74 from 107 leaves us with 33.
Bring next digit (1) of the dividend behind the 33 and repeat the process: 331 / 37

On to step 6:
37 can be fit into 331 8 times, resulting in a remainder of 35.
Write down 8 as next digit of the result. 
Result so far: 3928.0
Subtract 296 from 331 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
If we divide 350 by 37, we get 9 and a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 3928.9
The remainder is 17 after subtracting 333 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
170 divided by 37 is 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 3928.94
Subtracting 148 from 170 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
When dividing 220 by 37, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 3928.945
Subtract 185 from 220 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
37 goes into 350 9 times with a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 3928.9459
Deduct 333 from 350 and we're left 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.

Moving on to step 11:
When dividing 170 by 37, we get 4 with a remainder of 22.
The next digit of our result is 4. 
Result so far: 3928.94594
Subtracting 148 from 170 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
The number 37 fits into 220 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 3928.945945
Subtracting 185 from 220 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 13:
350 divided by 37 is 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 3928.9459459
If we take 333 away from 350, 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.

On to step 14:
The number 37 fits into 170 4 times, leaving a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 3928.94594594
Deduct 148 from 170 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 3928.94594594 with a balance of 2.2e-08.