Let's divide 838669 by 53
We're looking to find how many times 53 goes into 838669.

Let's proceed to step 1:
If we divide 8 by 53, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 53

Step 2:
If we divide 83 by 53, we get 1 and a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 53 from 83 leaves us with 30.
Include the next digit (8) from the dividend after 30, then repeat: 308 / 53

Advancing to step 3:
53 can be fit into 308 5 times, resulting in a remainder of 43.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 265 from 308 and we're left with 43.
Grab the next digit (6) from the dividend, add it to 43, then carry on: 436 / 53

Moving on to step 4:
53 can be fit into 436 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 158.0
The remainder is 12 after subtracting 424 from 436.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 53

Going ahead to step 5:
53 can be fit into 126 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 1582.0
If we subtract 106 from 126, we get 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 53

Advancing to step 6:
When dividing 209 by 53, we get 3 with a remainder of 50.
Write down 3 as next digit of the result. 
Result so far: 15823.0
Deduct 159 from 209 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 7:
If we divide 500 by 53, we get 9 and a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 15823.9
If we subtract 477 from 500, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
230 divided by 53 is 4 with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 15823.94
Subtracting 212 from 230 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
When dividing 180 by 53, we get 3 with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 15823.943
Subtracting 159 from 180 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
53 can be fit into 210 3 times, resulting in a remainder of 51.
Record the quotient 3 as the next digit in the result. 
Result so far: 15823.9433
The remainder is 51 after subtracting 159 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final outcome is 15823.9433, with a leftover of 0.00051.