137275 ÷ 61 
We want to divide 137275 by 61.

Going ahead to step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 61

Moving on to step 2:
When dividing 13 by 61, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 61

Moving on to step 3:
The number 61 fits into 137 2 times, leaving a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 122 away from 137, we end up with 15.
Fetch the next digit (2) from the dividend, attach it to 15 and continue: 152 / 61

Step 4:
152 divided by 61 is 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtracting 122 from 152 leaves us with 30.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 61

Let's proceed to step 5:
61 can be fit into 307 5 times, resulting in a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 225.0
The remainder is 2 after subtracting 305 from 307.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 61

Let's proceed to step 6:
61 goes into 25 0 times with a remainder of 25.
The next digit of our result is 0. 
Result so far: 2250.0
If we subtract 0 from 25, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
61 can be fit into 250 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 2250.4
If we subtract 244 from 250, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
60 divided by 61 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 2250.4
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
61 goes into 600 9 times with a remainder of 51.
The next digit of our result is 9. 
Result so far: 2250.409
Subtracting 549 from 600 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 10:
61 goes into 510 8 times with a remainder of 22.
The next digit of our result is 8. 
Result so far: 2250.4098
The remainder is 22 after subtracting 488 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
The number 61 fits into 220 3 times, leaving a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 2250.40983
If we subtract 183 from 220, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 12:
The number 61 fits into 370 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2250.409836
Subtracting 366 from 370 leaves us 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.

Moving on to step 13:
61 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 2250.409836
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
61 can be fit into 400 6 times, resulting in a remainder of 34.
The next digit of our result is 6. 
Result so far: 2250.40983606
Deduct 366 from 400 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 2250.40983606 with a remainder of 3.4e-08.