We're dividing 25877445 by 643 
We want to figure out the number of times 25877445 can be divided by 643.

Let's proceed to step 1:
The number 643 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 643

On to step 2:
643 can be fit into 25 0 times, resulting in a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 643

Going ahead to step 3:
643 can be fit into 258 0 times, resulting in a remainder of 258.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 258 to get 258.
Grab the next digit (7) from the dividend, add it to 258, then carry on: 2587 / 643

On to step 4:
2587 divided by 643 is 4 with a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 2572 from 2587, we get 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 643

Advancing to step 5:
157 divided by 643 is 0 with a remainder of 157.
Put 0 as the next digit of the answer. 
Result so far: 40.0
If we take 0 away from 157, we end up with 157.
Bring next digit (4) of the dividend behind the 157 and repeat the process: 1574 / 643

Let's proceed to step 6:
643 can be fit into 1574 2 times, resulting in a remainder of 288.
Write down 2 as next digit of the result. 
Result so far: 402.0
If we take 1286 away from 1574, we end up with 288.
Bring next digit (4) of the dividend behind the 288 and repeat the process: 2884 / 643

Advancing to step 7:
643 goes into 2884 4 times with a remainder of 312.
Write down 4 as next digit of the result. 
Result so far: 4024.0
The remainder is 312 after subtracting 2572 from 2884.
Include the next digit (5) from the dividend after 312, then repeat: 3125 / 643

Let's proceed to step 8:
643 goes into 3125 4 times with a remainder of 553.
Record the quotient 4 as the next digit in the result. 
Result so far: 40244.0
Subtracting 2572 from 3125 leaves us with 553.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5530, and continue the process.

Let's proceed to step 9:
The number 643 fits into 5530 8 times, leaving a remainder of 386.
Record the quotient 8 as the next digit in the result. 
Result so far: 40244.8
If we take 5144 away from 5530, we end up with 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

On to step 10:
643 goes into 3860 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 40244.86
Deduct 3858 from 3860 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.

Step 11:
If we divide 20 by 643, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 40244.86
The remainder is 20 after subtracting 0 from 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 12:
643 goes into 200 0 times with a remainder of 200.
Record the quotient 0 as the next digit in the result. 
Result so far: 40244.86
Subtract 0 from 200 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Our division results in 40244.86 with a remaining 0.002.