101429 ÷ 59 
We want to divide 101429 by 59.

Advancing to step 1:
If we divide 1 by 59, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 59

Going ahead to step 2:
10 divided by 59 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 59

Moving on to step 3:
101 divided by 59 is 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 1.0
If we take 59 away from 101, we end up with 42.
Grab the next digit (4) from the dividend, add it to 42, then carry on: 424 / 59

Step 4:
The number 59 fits into 424 7 times, leaving a remainder of 11.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 413 from 424, we get 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 59

Let's proceed to step 5:
59 goes into 112 1 times with a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 171.0
Deduct 59 from 112 and we're left with 53.
Take the next digit (9) from the dividend and append it to 53, then repeat: 539 / 59

On to step 6:
If we divide 539 by 59, we get 9 and a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 1719.0
If we subtract 531 from 539, we get 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 7:
When dividing 80 by 59, we get 1 with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1719.1
If we take 59 away from 80, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 8:
59 can be fit into 210 3 times, resulting in a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 1719.13
The remainder is 33 after subtracting 177 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 9:
When dividing 330 by 59, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 1719.135
The remainder is 35 after subtracting 295 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
59 goes into 350 5 times with a remainder of 55.
The next digit of our result is 5. 
Result so far: 1719.1355
If we subtract 295 from 350, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

In conclusion, the division gives 1719.1355 with a balance of 0.00055.