We look at the division of 71623 by 66 
Let's see how many times 66 fits into 71623.

On to step 1:
When dividing 7 by 66, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 66

On to step 2:
If we divide 71 by 66, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 66 from 71 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 66

Let's proceed to step 3:
When dividing 56 by 66, we get 0 with a remainder of 56.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 56, we get 56.
Grab the next digit (2) from the dividend, add it to 56, then carry on: 562 / 66

Step 4:
66 can be fit into 562 8 times, resulting in a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Deduct 528 from 562 and we're left with 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 66

On to step 5:
66 goes into 343 5 times with a remainder of 13.
Use 5 as the next digit of our solution. 
Result so far: 1085.0
Subtracting 330 from 343 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 6:
If we divide 130 by 66, we get 1 and a remainder of 64.
Use 1 as the next digit of our solution. 
Result so far: 1085.1
Subtracting 66 from 130 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 7:
When dividing 640 by 66, we get 9 with a remainder of 46.
Write down 9 as next digit of the result. 
Result so far: 1085.19
Subtract 594 from 640 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 8:
66 goes into 460 6 times with a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 1085.196
If we take 396 away from 460, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 9:
When dividing 640 by 66, we get 9 with a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 1085.1969
The remainder is 46 after subtracting 594 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
When dividing 460 by 66, we get 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 1085.19696
If we take 396 away from 460, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
When dividing 640 by 66, we get 9 with a remainder of 46.
Put 9 as the next digit of the answer. 
Result so far: 1085.196969
Deduct 594 from 640 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
66 can be fit into 460 6 times, resulting in a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 1085.1969696
Subtract 396 from 460 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 13:
When dividing 640 by 66, we get 9 with a remainder of 46.
Write down 9 as next digit of the result. 
Result so far: 1085.19696969
If we subtract 594 from 640, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The quotient of the division is 1085.19696969, and the remainder is 4.6e-08.