137258 divided by 71 
We want to figure out the number of times 137258 can be divided by 71.

On to step 1:
71 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 71

On to step 2:
71 goes into 13 0 times with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 71

Advancing to step 3:
137 divided by 71 is 1 with a remainder of 66.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 71 from 137 to get 66.
Append the next digit (2) from the dividend to 66 and continue with: 662 / 71

Moving on to step 4:
662 divided by 71 is 9 with a remainder of 23.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 639 from 662, we get 23.
Grab the next digit (5) from the dividend, add it to 23, then carry on: 235 / 71

On to step 5:
The number 71 fits into 235 3 times, leaving a remainder of 22.
The next digit of our result is 3. 
Result so far: 193.0
If we subtract 213 from 235, we get 22.
Append the next digit (8) from the dividend to 22 and continue with: 228 / 71

Step 6:
When dividing 228 by 71, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 1933.0
Subtracting 213 from 228 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.

Let's proceed to step 7:
The number 71 fits into 150 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 1933.2
Deduct 142 from 150 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
71 goes into 80 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1933.21
Subtracting 71 from 80 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
90 divided by 71 is 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1933.211
The remainder is 19 after subtracting 71 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final outcome is 1933.211, with a leftover of 0.0019.