We're dividing 35626 by 84 
We're looking to find how many times 84 goes into 35626.

Moving on to step 1:
84 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 84

Going ahead to step 2:
If we divide 35 by 84, we get 0 and a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 84

Let's proceed to step 3:
The number 84 fits into 356 4 times, leaving a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 336 from 356 to get 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 84

Going ahead to step 4:
If we divide 202 by 84, we get 2 and a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 168 from 202 and we're left with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 84

Step 5:
346 divided by 84 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 424.0
Deduct 336 from 346 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.

Going ahead to step 6:
When dividing 100 by 84, we get 1 with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 424.1
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
160 divided by 84 is 1 with a remainder of 76.
Record the quotient 1 as the next digit in the result. 
Result so far: 424.11
If we take 84 away from 160, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The quotient of the division is 424.11, and the remainder is 0.076.