6373672 divided by 261 
Our goal is to divide 6373672 by 261.

Moving on to step 1:
6 divided by 261 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 261

Advancing to step 2:
63 divided by 261 is 0 with a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Fetch the next digit (7) from the dividend, attach it to 63 and continue: 637 / 261

Advancing to step 3:
261 goes into 637 2 times with a remainder of 115.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 522 from 637 and we're left with 115.
Include the next digit (3) from the dividend after 115, then repeat: 1153 / 261

Going ahead to step 4:
When dividing 1153 by 261, we get 4 with a remainder of 109.
The next digit of our result is 4. 
Result so far: 24.0
Subtract 1044 from 1153 to get 109.
Include the next digit (6) from the dividend after 109, then repeat: 1096 / 261

Step 5:
When dividing 1096 by 261, we get 4 with a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 244.0
The remainder is 52 after subtracting 1044 from 1096.
Grab the next digit (7) from the dividend, add it to 52, then carry on: 527 / 261

Let's proceed to step 6:
If we divide 527 by 261, we get 2 and a remainder of 5.
The next digit of our result is 2. 
Result so far: 2442.0
Deduct 522 from 527 and we're left with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 261

On to step 7:
If we divide 52 by 261, we get 0 and a remainder of 52.
The next digit of our result is 0. 
Result so far: 24420.0
Subtract 0 from 52 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.

Going ahead to step 8:
The number 261 fits into 520 1 times, leaving a remainder of 259.
Write down 1 as next digit of the result. 
Result so far: 24420.1
Subtracting 261 from 520 leaves us with 259.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2590, and continue the process.

Advancing to step 9:
When dividing 2590 by 261, we get 9 with a remainder of 241.
Put 9 as the next digit of the answer. 
Result so far: 24420.19
Subtract 2349 from 2590 to get 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2410, and continue the process.

Step 10:
When dividing 2410 by 261, we get 9 with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 24420.199
Subtracting 2349 from 2410 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

After the division, we end up with 24420.199 and a remainder of 0.0061.