We look at the division of 137461 by 71 
We want to figure out the number of times 137461 can be divided by 71.

Step 1:
The number 71 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 71

Going ahead to step 2:
When dividing 13 by 71, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 71

Step 3:
71 can be fit into 137 1 times, resulting in a remainder of 66.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 66 after subtracting 71 from 137.
Bring next digit (4) of the dividend behind the 66 and repeat the process: 664 / 71

Moving on to step 4:
When dividing 664 by 71, we get 9 with a remainder of 25.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we take 639 away from 664, we end up with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 71

Step 5:
If we divide 256 by 71, we get 3 and a remainder of 43.
Write down 3 as next digit of the result. 
Result so far: 193.0
Subtract 213 from 256 to get 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 71

Going ahead to step 6:
71 goes into 431 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 1936.0
If we take 426 away from 431, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
71 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 1936.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
71 goes into 500 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 1936.07
Subtract 497 from 500 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.

Moving on to step 9:
If we divide 30 by 71, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1936.07
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
300 divided by 71 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1936.0704
Deduct 284 from 300 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
160 divided by 71 is 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 1936.07042
Subtracting 142 from 160 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
71 goes into 180 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 1936.070422
If we take 142 away from 180, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 1936.070422 with a remainder of 3.8e-06.