Let's divide 137628 by 71
We're looking to find how many times 71 goes into 137628.

Advancing to step 1:
1 divided by 71 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 71

Advancing to step 2:
If we divide 13 by 71, we get 0 and a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 71

Step 3:
71 can be fit into 137 1 times, resulting in a remainder of 66.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 71 from 137 to get 66.
Append the next digit (6) from the dividend to 66 and continue with: 666 / 71

Going ahead to step 4:
71 can be fit into 666 9 times, resulting in a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 19.0
Deduct 639 from 666 and we're left with 27.
Take the next digit (2) from the dividend and append it to 27, then repeat: 272 / 71

On to step 5:
71 goes into 272 3 times with a remainder of 59.
Write down 3 as next digit of the result. 
Result so far: 193.0
If we subtract 213 from 272, we get 59.
Fetch the next digit (8) from the dividend, attach it to 59 and continue: 598 / 71

Moving on to step 6:
598 divided by 71 is 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 1938.0
The remainder is 30 after subtracting 568 from 598.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
300 divided by 71 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 1938.4
Subtracting 284 from 300 leaves us 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.

Moving on to step 8:
71 goes into 160 2 times with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 1938.42
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.

On to step 9:
180 divided by 71 is 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 1938.422
The remainder is 38 after subtracting 142 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 1938.422 and a remainder of 0.0038.