357112 ÷ 3 
Our goal is to divide 357112 by 3.

Advancing to step 1:
3 divided by 3 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 3 from 3 to get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 3

On to step 2:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we subtract 3 from 5, we get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 3

On to step 3:
3 can be fit into 27 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 119.0
If we take 27 away from 27, we end up with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 3

Going ahead to step 4:
When dividing 1 by 3, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 1190.0
If we take 0 away from 1, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 3

Going ahead to step 5:
3 goes into 11 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 11903.0
Subtracting 9 from 11 leaves us with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Advancing to step 6:
3 goes into 22 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 119037.0
Deduct 21 from 22 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
10 divided by 3 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 119037.3
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 119037.33
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 119037.33 with a balance of 0.001.