Let's divide 625669 by 54
We want to divide 625669 by 54.

Step 1:
The number 54 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 54

Going ahead to step 2:
54 goes into 62 1 times with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 54 from 62, we get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 54

On to step 3:
When dividing 85 by 54, we get 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 54 from 85, we get 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 54

Moving on to step 4:
The number 54 fits into 316 5 times, leaving a remainder of 46.
The next digit of our result is 5. 
Result so far: 115.0
Deduct 270 from 316 and we're left with 46.
Include the next digit (6) from the dividend after 46, then repeat: 466 / 54

Moving on to step 5:
When dividing 466 by 54, we get 8 with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 1158.0
Deduct 432 from 466 and we're left with 34.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 54

Going ahead to step 6:
349 divided by 54 is 6 with a remainder of 25.
Write down 6 as next digit of the result. 
Result so far: 11586.0
If we take 324 away from 349, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
54 can be fit into 250 4 times, resulting in a remainder of 34.
The next digit of our result is 4. 
Result so far: 11586.4
If we subtract 216 from 250, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
54 goes into 340 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 11586.46
If we take 324 away from 340, we end up 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.

Moving on to step 9:
54 can be fit into 160 2 times, resulting in a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 11586.462
Subtract 108 from 160 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
54 can be fit into 520 9 times, resulting in a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 11586.4629
Subtracting 486 from 520 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
54 can be fit into 340 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 11586.46296
Subtract 324 from 340 to 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.

Going ahead to step 12:
54 can be fit into 160 2 times, resulting in a remainder of 52.
The number 2 becomes the next digit in our result. 
Result so far: 11586.462962
Subtract 108 from 160 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 13:
54 goes into 520 9 times with a remainder of 34.
Write down 9 as next digit of the result. 
Result so far: 11586.4629629
The remainder is 34 after subtracting 486 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
When dividing 340 by 54, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 11586.46296296
If we take 324 away from 340, we end up 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.

In conclusion, the division gives 11586.46296296 with a balance of 1.6e-08.