We're dividing 4294 by 90 
We want to figure out the number of times 4294 can be divided by 90.

On to step 1:
90 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 90

On to step 2:
42 divided by 90 is 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Append the next digit (9) from the dividend to 42 and continue with: 429 / 90

Going ahead to step 3:
90 goes into 429 4 times with a remainder of 69.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 360 from 429 leaves us with 69.
Bring next digit (4) of the dividend behind the 69 and repeat the process: 694 / 90

Advancing to step 4:
694 divided by 90 is 7 with a remainder of 64.
Use 7 as the next digit of our solution. 
Result so far: 47.0
Subtract 630 from 694 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 5:
90 can be fit into 640 7 times, resulting in a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 47.7
Deduct 630 from 640 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 6:
90 can be fit into 100 1 times, resulting in a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 47.71
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
90 can be fit into 100 1 times, resulting in a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 47.711
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 47.711, and the remainder is 0.001.