We're dividing 53698 by 3 
We're looking to find how many times 3 goes into 53698.

Moving on to step 1:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 3 away from 5, we end up with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Let's proceed to step 2:
When dividing 23 by 3, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 21 from 23, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Moving on to step 3:
When dividing 26 by 3, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 178.0
If we take 24 away from 26, we end up with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 3

On to step 4:
3 goes into 29 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 1789.0
If we take 27 away from 29, we end up with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Moving on to step 5:
3 goes into 28 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 17899.0
Subtract 27 from 28 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 17899.3
Subtracting 9 from 10 leaves us 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.

Step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 17899.33
Deduct 9 from 10 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.

The quotient of the division is 17899.33, and the remainder is 0.001.