We look at the division of 261277 by 37 
Our goal is to divide 261277 by 37.

Step 1:
The number 37 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 37

Moving on to step 2:
37 goes into 26 0 times with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Bring next digit (1) of the dividend behind the 26 and repeat the process: 261 / 37

Let's proceed to step 3:
The number 37 fits into 261 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 259 from 261, we get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 37

Going ahead to step 4:
37 goes into 22 0 times with a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 70.0
Deduct 0 from 22 and we're left with 22.
Take the next digit (7) from the dividend and append it to 22, then repeat: 227 / 37

Let's proceed to step 5:
The number 37 fits into 227 6 times, leaving a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 706.0
Subtracting 222 from 227 leaves us with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 37

On to step 6:
57 divided by 37 is 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 7061.0
Subtract 37 from 57 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
The number 37 fits into 200 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 7061.5
Subtracting 185 from 200 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
37 can be fit into 150 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 7061.54
If we take 148 away from 150, we end up 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.

Moving on to step 9:
37 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 7061.54
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
When dividing 200 by 37, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 7061.5405
Subtract 185 from 200 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
37 can be fit into 150 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 7061.54054
Deduct 148 from 150 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.

Let's proceed to step 12:
37 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 7061.54054
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 13:
When dividing 200 by 37, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 7061.5405405
If we take 185 away from 200, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
When dividing 150 by 37, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 7061.54054054
Subtracting 148 from 150 leaves us 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.

In conclusion, the division gives 7061.54054054 with a balance of 2e-09.