Let's divide 127876 by 37
We want to divide 127876 by 37.

On to step 1:
37 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 37

Going ahead to step 2:
37 can be fit into 12 0 times, resulting in a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 37

Advancing to step 3:
If we divide 127 by 37, we get 3 and a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 111 from 127 and we're left with 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 37

On to step 4:
37 goes into 168 4 times with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Subtracting 148 from 168 leaves us with 20.
Grab the next digit (7) from the dividend, add it to 20, then carry on: 207 / 37

Going ahead to step 5:
37 goes into 207 5 times with a remainder of 22.
The next digit of our result is 5. 
Result so far: 345.0
Deduct 185 from 207 and we're left with 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 37

Advancing to step 6:
226 divided by 37 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 3456.0
If we subtract 222 from 226, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
37 can be fit into 40 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 3456.1
Subtract 37 from 40 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
The number 37 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 3456.1
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
When dividing 300 by 37, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 3456.108
If we subtract 296 from 300, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
37 can be fit into 40 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 3456.1081
Subtract 37 from 40 to get 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 11:
When dividing 30 by 37, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 3456.1081
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
37 goes into 300 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 3456.108108
If we take 296 away from 300, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
If we divide 40 by 37, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 3456.1081081
Subtracting 37 from 40 leaves us 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.

Let's proceed to step 14:
37 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 3456.1081081
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 3456.1081081 with a balance of 3e-08.