106121 divided by 71 
We want to figure out the number of times 106121 can be divided by 71.

Step 1:
1 divided by 71 is 0 with 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.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 71

Moving on to step 2:
71 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 71

On to step 3:
106 divided by 71 is 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 71 from 106, we get 35.
Grab the next digit (1) from the dividend, add it to 35, then carry on: 351 / 71

Let's proceed to step 4:
351 divided by 71 is 4 with a remainder of 67.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 67 after subtracting 284 from 351.
Take the next digit (2) from the dividend and append it to 67, then repeat: 672 / 71

Let's proceed to step 5:
The number 71 fits into 672 9 times, leaving a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 149.0
Deduct 639 from 672 and we're left with 33.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 71

Let's proceed to step 6:
If we divide 331 by 71, we get 4 and a remainder of 47.
Record the quotient 4 as the next digit in the result. 
Result so far: 1494.0
The remainder is 47 after subtracting 284 from 331.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 7:
71 goes into 470 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 1494.6
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 8:
71 goes into 440 6 times with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 1494.66
Subtracting 426 from 440 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 1494.66 with a balance of 0.014.