82653 ÷ 69 
Our goal is to divide 82653 by 69.

Step 1:
69 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 69

Advancing to step 2:
69 can be fit into 82 1 times, resulting in a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 69 from 82 and we're left with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 69

Let's proceed to step 3:
69 goes into 136 1 times with a remainder of 67.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 69 from 136 leaves us with 67.
Append the next digit (5) from the dividend to 67 and continue with: 675 / 69

Advancing to step 4:
69 goes into 675 9 times with a remainder of 54.
The next digit of our result is 9. 
Result so far: 119.0
Subtract 621 from 675 to get 54.
Grab the next digit (3) from the dividend, add it to 54, then carry on: 543 / 69

Moving on to step 5:
The number 69 fits into 543 7 times, leaving a remainder of 60.
The number 7 becomes the next digit in our result. 
Result so far: 1197.0
If we take 483 away from 543, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 6:
If we divide 600 by 69, we get 8 and a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 1197.8
If we take 552 away from 600, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
69 can be fit into 480 6 times, resulting in a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 1197.86
If we subtract 414 from 480, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 8:
The number 69 fits into 660 9 times, leaving a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 1197.869
Subtracting 621 from 660 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 9:
The number 69 fits into 390 5 times, leaving a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 1197.8695
Subtract 345 from 390 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 10:
69 goes into 450 6 times with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 1197.86956
If we take 414 away from 450, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 11:
69 can be fit into 360 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 1197.869565
If we take 345 away from 360, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
69 goes into 150 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 1197.8695652
Deduct 138 from 150 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.

Step 13:
69 goes into 120 1 times with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 1197.86956521
The remainder is 51 after subtracting 69 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The quotient of the division is 1197.86956521, and the remainder is 5.1e-08.