We're dividing 625474 by 15 
We're looking to find how many times 15 goes into 625474.

Going ahead to step 1:
If we divide 6 by 15, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our 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 / 15

Going ahead to step 2:
When dividing 62 by 15, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 60 away from 62, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 15

Moving on to step 3:
The number 15 fits into 25 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Subtract 15 from 25 to get 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 15

On to step 4:
15 can be fit into 104 6 times, resulting in a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 416.0
Subtract 90 from 104 to get 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 15

Advancing to step 5:
If we divide 147 by 15, we get 9 and a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 4169.0
Subtracting 135 from 147 leaves us with 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 15

On to step 6:
When dividing 124 by 15, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 41698.0
Subtract 120 from 124 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
40 divided by 15 is 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 41698.2
Subtracting 30 from 40 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
100 divided by 15 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 41698.26
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 41698.266
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 41698.266 with a remaining 0.001.