122892 ÷ 35 
We want to figure out the number of times 122892 can be divided by 35.

Let's proceed to step 1:
1 divided by 35 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.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 35

Advancing to step 2:
The number 35 fits into 12 0 times, leaving a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 35

Step 3:
When dividing 122 by 35, we get 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 105 from 122, we get 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 35

On to step 4:
35 goes into 178 5 times with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we take 175 away from 178, we end up with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 35

Moving on to step 5:
35 goes into 39 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 351.0
Deduct 35 from 39 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 35

Going ahead to step 6:
The number 35 fits into 42 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 3511.0
Deduct 35 from 42 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
The number 35 fits into 70 2 times, leaving a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 3511.2
Deduct 70 from 70 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
If we divide 0 by 35, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 3511.2
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
When dividing 0 by 35, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3511.2
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 3511.2 with a remaining 0.0.