We're dividing 268900 by 37 
Our goal is to divide 268900 by 37.

Advancing to step 1:
2 divided by 37 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 37

Moving on to step 2:
The number 37 fits into 26 0 times, leaving a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Append the next digit (8) from the dividend to 26 and continue with: 268 / 37

On to step 3:
If we divide 268 by 37, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 259 from 268, we get 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 37

Going ahead to step 4:
When dividing 99 by 37, we get 2 with a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 72.0
Deduct 74 from 99 and we're left with 25.
Include the next digit (0) from the dividend after 25, then repeat: 250 / 37

On to step 5:
37 can be fit into 250 6 times, resulting in a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 726.0
Deduct 222 from 250 and we're left with 28.
Include the next digit (0) from the dividend after 28, then repeat: 280 / 37

Advancing to step 6:
If we divide 280 by 37, we get 7 and a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 7267.0
Deduct 259 from 280 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
When dividing 210 by 37, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 7267.5
Subtracting 185 from 210 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
37 can be fit into 250 6 times, resulting in a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 7267.56
Subtract 222 from 250 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
If we divide 280 by 37, we get 7 and a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 7267.567
The remainder is 21 after subtracting 259 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 10:
The number 37 fits into 210 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7267.5675
If we take 185 away from 210, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 11:
37 goes into 250 6 times with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 7267.56756
If we subtract 222 from 250, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
The number 37 fits into 280 7 times, leaving a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 7267.567567
Deduct 259 from 280 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 13:
If we divide 210 by 37, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 7267.5675675
Deduct 185 from 210 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 14:
If we divide 250 by 37, we get 6 and a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 7267.56756756
The remainder is 28 after subtracting 222 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 7267.56756756 with a balance of 2.8e-08.