We're dividing 121129 by 71 
Our goal is to divide 121129 by 71.

Going ahead to step 1:
If we divide 1 by 71, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 71

Going ahead to step 2:
12 divided by 71 is 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 71

Step 3:
The number 71 fits into 121 1 times, leaving a remainder of 50.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 71 from 121 and we're left with 50.
Append the next digit (1) from the dividend to 50 and continue with: 501 / 71

Advancing to step 4:
The number 71 fits into 501 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 497 from 501 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 71

Going ahead to step 5:
When dividing 42 by 71, we get 0 with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 170.0
If we take 0 away from 42, we end up with 42.
Take the next digit (9) from the dividend and append it to 42, then repeat: 429 / 71

Moving on to step 6:
71 goes into 429 6 times with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 1706.0
The remainder is 3 after subtracting 426 from 429.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
If we divide 30 by 71, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1706.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
71 goes into 300 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 1706.04
The remainder is 16 after subtracting 284 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
71 can be fit into 160 2 times, resulting in a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 1706.042
Deduct 142 from 160 and we're left 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 10:
71 goes into 180 2 times with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 1706.0422
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.

In conclusion, the division gives 1706.0422 with a balance of 0.00038.