Let's divide 7725677 by 642
We want to divide 7725677 by 642.

Moving on to step 1:
7 divided by 642 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 642

On to step 2:
642 can be fit into 77 0 times, resulting in a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Include the next digit (2) from the dividend after 77, then repeat: 772 / 642

On to step 3:
When dividing 772 by 642, we get 1 with a remainder of 130.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 642 from 772 and we're left with 130.
Take the next digit (5) from the dividend and append it to 130, then repeat: 1305 / 642

Advancing to step 4:
The number 642 fits into 1305 2 times, leaving a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 1284 away from 1305, we end up with 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 642

Moving on to step 5:
If we divide 216 by 642, we get 0 and a remainder of 216.
Put 0 as the next digit of the answer. 
Result so far: 120.0
Subtract 0 from 216 to get 216.
Bring next digit (7) of the dividend behind the 216 and repeat the process: 2167 / 642

Let's proceed to step 6:
642 can be fit into 2167 3 times, resulting in a remainder of 241.
Put 3 as the next digit of the answer. 
Result so far: 1203.0
Subtracting 1926 from 2167 leaves us with 241.
Bring next digit (7) of the dividend behind the 241 and repeat the process: 2417 / 642

Going ahead to step 7:
The number 642 fits into 2417 3 times, leaving a remainder of 491.
The number 3 becomes the next digit in our result. 
Result so far: 12033.0
If we subtract 1926 from 2417, we get 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4910, and continue the process.

Let's proceed to step 8:
642 goes into 4910 7 times with a remainder of 416.
Record the quotient 7 as the next digit in the result. 
Result so far: 12033.7
Subtracting 4494 from 4910 leaves us with 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Moving on to step 9:
If we divide 4160 by 642, we get 6 and a remainder of 308.
Put 6 as the next digit of the answer. 
Result so far: 12033.76
The remainder is 308 after subtracting 3852 from 4160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Moving on to step 10:
3080 divided by 642 is 4 with a remainder of 512.
Record the quotient 4 as the next digit in the result. 
Result so far: 12033.764
Subtract 2568 from 3080 to get 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Advancing to step 11:
If we divide 5120 by 642, we get 7 and a remainder of 626.
The next digit of our result is 7. 
Result so far: 12033.7647
Subtract 4494 from 5120 to get 626.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Let's proceed to step 12:
If we divide 6260 by 642, we get 9 and a remainder of 482.
The number 9 becomes the next digit in our result. 
Result so far: 12033.76479
If we subtract 5778 from 6260, we get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Going ahead to step 13:
642 can be fit into 4820 7 times, resulting in a remainder of 326.
Put 7 as the next digit of the answer. 
Result so far: 12033.764797
Subtract 4494 from 4820 to get 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Going ahead to step 14:
642 goes into 3260 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 12033.7647975
The remainder is 50 after subtracting 3210 from 3260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 15:
642 can be fit into 500 0 times, resulting in a remainder of 500.
The number 0 becomes the next digit in our result. 
Result so far: 12033.7647975
Subtracting 0 from 500 leaves us with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

The quotient of the division is 12033.7647975, and the remainder is 5e-07.