625663 ÷ 48 
Our goal is to divide 625663 by 48.

Going ahead to step 1:
48 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 48

Advancing to step 2:
If we divide 62 by 48, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 48 from 62, we get 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 48

Advancing to step 3:
The number 48 fits into 145 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 144 from 145 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 48

On to step 4:
48 can be fit into 16 0 times, resulting in a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 130.0
The remainder is 16 after subtracting 0 from 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 48

Moving on to step 5:
The number 48 fits into 166 3 times, leaving a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 1303.0
Subtract 144 from 166 to get 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 48

Moving on to step 6:
When dividing 223 by 48, we get 4 with a remainder of 31.
Put 4 as the next digit of the answer. 
Result so far: 13034.0
Subtracting 192 from 223 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
310 divided by 48 is 6 with a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 13034.6
The remainder is 22 after subtracting 288 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
When dividing 220 by 48, we get 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 13034.64
If we subtract 192 from 220, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
When dividing 280 by 48, we get 5 with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 13034.645
The remainder is 40 after subtracting 240 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
48 goes into 400 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 13034.6458
If we subtract 384 from 400, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
When dividing 160 by 48, we get 3 with a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 13034.64583
Deduct 144 from 160 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
The number 48 fits into 160 3 times, leaving a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 13034.645833
If we subtract 144 from 160, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 13034.645833 with a balance of 1.6e-06.