4169 ÷ 63 
We want to figure out the number of times 4169 can be divided by 63.

Advancing to step 1:
63 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 63

Moving on to step 2:
The number 63 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 63

On to step 3:
If we divide 416 by 63, we get 6 and a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 38 after subtracting 378 from 416.
Grab the next digit (9) from the dividend, add it to 38, then carry on: 389 / 63

Step 4:
63 can be fit into 389 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Deduct 378 from 389 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 5:
63 goes into 110 1 times with a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 66.1
The remainder is 47 after subtracting 63 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 6:
If we divide 470 by 63, we get 7 and a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 66.17
Subtracting 441 from 470 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
When dividing 290 by 63, we get 4 with a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 66.174
If we take 252 away from 290, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
The number 63 fits into 380 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.1746
Deduct 378 from 380 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
If we divide 20 by 63, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 66.1746
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
The number 63 fits into 200 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 66.174603
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
63 can be fit into 110 1 times, resulting in a remainder of 47.
Write down 1 as next digit of the result. 
Result so far: 66.1746031
Deduct 63 from 110 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 12:
The number 63 fits into 470 7 times, leaving a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 66.17460317
Subtract 441 from 470 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 66.17460317 with a remainder of 2.9e-08.