We look at the division of 35834 by 28 
We want to figure out the number of times 35834 can be divided by 28.

Moving on to step 1:
28 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 28

Moving on to step 2:
35 divided by 28 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 28 away from 35, we end up with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 28

On to step 3:
The number 28 fits into 78 2 times, leaving a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtracting 56 from 78 leaves us with 22.
Take the next digit (3) from the dividend and append it to 22, then repeat: 223 / 28

Advancing to step 4:
When dividing 223 by 28, we get 7 with a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 127.0
The remainder is 27 after subtracting 196 from 223.
Bring next digit (4) of the dividend behind the 27 and repeat the process: 274 / 28

Going ahead to step 5:
28 can be fit into 274 9 times, resulting in a remainder of 22.
The next digit of our result is 9. 
Result so far: 1279.0
Subtracting 252 from 274 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 6:
The number 28 fits into 220 7 times, leaving a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 1279.7
Subtract 196 from 220 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
The number 28 fits into 240 8 times, leaving a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 1279.78
Subtracting 224 from 240 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
160 divided by 28 is 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 1279.785
Deduct 140 from 160 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 28 fits into 200 7 times, leaving a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 1279.7857
Deduct 196 from 200 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
The number 28 fits into 40 1 times, leaving a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1279.78571
Deduct 28 from 40 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
120 divided by 28 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 1279.785714
Subtract 112 from 120 to 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.

Advancing to step 12:
The number 28 fits into 80 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 1279.7857142
The remainder is 24 after subtracting 56 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
When dividing 240 by 28, we get 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 1279.78571428
The remainder is 16 after subtracting 224 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 1279.78571428, and the remainder is 1.6e-08.