217889 divided by 53 
We want to figure out the number of times 217889 can be divided by 53.

On to step 1:
53 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 53

Advancing to step 2:
If we divide 21 by 53, we get 0 and a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 53

Moving on to step 3:
When dividing 217 by 53, we get 4 with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 212 away from 217, we end up with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 53

Let's proceed to step 4:
If we divide 58 by 53, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 41.0
Subtracting 53 from 58 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 53

Step 5:
The number 53 fits into 58 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 411.0
Deduct 53 from 58 and we're left with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 53

On to step 6:
53 goes into 59 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 4111.0
If we take 53 away from 59, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
60 divided by 53 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 4111.1
If we subtract 53 from 60, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
When dividing 70 by 53, we get 1 with a remainder of 17.
The next digit of our result is 1. 
Result so far: 4111.11
Subtracting 53 from 70 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 4111.11, and the remainder is 0.017.