5007623 ÷ 641 
We want to divide 5007623 by 641.

On to step 1:
When dividing 5 by 641, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 641

On to step 2:
641 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Fetch the next digit (0) from the dividend, attach it to 50 and continue: 500 / 641

On to step 3:
When dividing 500 by 641, we get 0 with a remainder of 500.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 500 leaves us with 500.
Fetch the next digit (7) from the dividend, attach it to 500 and continue: 5007 / 641

Let's proceed to step 4:
641 can be fit into 5007 7 times, resulting in a remainder of 520.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 520 after subtracting 4487 from 5007.
Append the next digit (6) from the dividend to 520 and continue with: 5206 / 641

Step 5:
If we divide 5206 by 641, we get 8 and a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
The remainder is 78 after subtracting 5128 from 5206.
Include the next digit (2) from the dividend after 78, then repeat: 782 / 641

Advancing to step 6:
782 divided by 641 is 1 with a remainder of 141.
The next digit of our result is 1. 
Result so far: 781.0
If we take 641 away from 782, we end up with 141.
Include the next digit (3) from the dividend after 141, then repeat: 1413 / 641

Step 7:
When dividing 1413 by 641, we get 2 with a remainder of 131.
The number 2 becomes the next digit in our result. 
Result so far: 7812.0
If we take 1282 away from 1413, we end up with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Advancing to step 8:
The number 641 fits into 1310 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 7812.2
Subtract 1282 from 1310 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
If we divide 280 by 641, we get 0 and a remainder of 280.
Use 0 as the next digit of our solution. 
Result so far: 7812.2
Subtracting 0 from 280 leaves us with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Let's proceed to step 10:
2800 divided by 641 is 4 with a remainder of 236.
Record the quotient 4 as the next digit in the result. 
Result so far: 7812.204
Subtract 2564 from 2800 to get 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Advancing to step 11:
If we divide 2360 by 641, we get 3 and a remainder of 437.
The number 3 becomes the next digit in our result. 
Result so far: 7812.2043
If we take 1923 away from 2360, we end up with 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

Let's proceed to step 12:
The number 641 fits into 4370 6 times, leaving a remainder of 524.
The number 6 becomes the next digit in our result. 
Result so far: 7812.20436
The remainder is 524 after subtracting 3846 from 4370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Step 13:
If we divide 5240 by 641, we get 8 and a remainder of 112.
Record the quotient 8 as the next digit in the result. 
Result so far: 7812.204368
If we subtract 5128 from 5240, we get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

On to step 14:
641 can be fit into 1120 1 times, resulting in a remainder of 479.
Write down 1 as next digit of the result. 
Result so far: 7812.2043681
Subtract 641 from 1120 to get 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Step 15:
If we divide 4790 by 641, we get 7 and a remainder of 303.
Use 7 as the next digit of our solution. 
Result so far: 7812.20436817
The remainder is 303 after subtracting 4487 from 4790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3030, and continue the process.

After the division, we end up with 7812.20436817 and a remainder of 3.03e-07.