6596948 divided by 643 
Our goal is to divide 6596948 by 643.

Going ahead to step 1:
If we divide 6 by 643, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 643

Step 2:
The number 643 fits into 65 0 times, leaving a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Grab the next digit (9) from the dividend, add it to 65, then carry on: 659 / 643

On to step 3:
The number 643 fits into 659 1 times, leaving a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 643 away from 659, we end up with 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 643

On to step 4:
643 can be fit into 166 0 times, resulting in a remainder of 166.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 166 to get 166.
Append the next digit (9) from the dividend to 166 and continue with: 1669 / 643

Step 5:
The number 643 fits into 1669 2 times, leaving a remainder of 383.
Put 2 as the next digit of the answer. 
Result so far: 102.0
The remainder is 383 after subtracting 1286 from 1669.
Append the next digit (4) from the dividend to 383 and continue with: 3834 / 643

Moving on to step 6:
If we divide 3834 by 643, we get 5 and a remainder of 619.
Record the quotient 5 as the next digit in the result. 
Result so far: 1025.0
Subtract 3215 from 3834 to get 619.
Grab the next digit (8) from the dividend, add it to 619, then carry on: 6198 / 643

On to step 7:
The number 643 fits into 6198 9 times, leaving a remainder of 411.
Write down 9 as next digit of the result. 
Result so far: 10259.0
If we take 5787 away from 6198, we end up with 411.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4110, and continue the process.

Let's proceed to step 8:
When dividing 4110 by 643, we get 6 with a remainder of 252.
Put 6 as the next digit of the answer. 
Result so far: 10259.6
If we subtract 3858 from 4110, we get 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

Advancing to step 9:
643 goes into 2520 3 times with a remainder of 591.
Write down 3 as next digit of the result. 
Result so far: 10259.63
Subtracting 1929 from 2520 leaves us with 591.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5910, and continue the process.

Moving on to step 10:
When dividing 5910 by 643, we get 9 with a remainder of 123.
The next digit of our result is 9. 
Result so far: 10259.639
If we subtract 5787 from 5910, we get 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Moving on to step 11:
If we divide 1230 by 643, we get 1 and a remainder of 587.
Record the quotient 1 as the next digit in the result. 
Result so far: 10259.6391
The remainder is 587 after subtracting 643 from 1230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5870, and continue the process.

Advancing to step 12:
643 goes into 5870 9 times with a remainder of 83.
Use 9 as the next digit of our solution. 
Result so far: 10259.63919
Subtract 5787 from 5870 to get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 13:
830 divided by 643 is 1 with a remainder of 187.
Record the quotient 1 as the next digit in the result. 
Result so far: 10259.639191
If we take 643 away from 830, we end up with 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

Moving on to step 14:
When dividing 1870 by 643, we get 2 with a remainder of 584.
Write down 2 as next digit of the result. 
Result so far: 10259.6391912
Subtracting 1286 from 1870 leaves us with 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Moving on to step 15:
643 goes into 5840 9 times with a remainder of 53.
Put 9 as the next digit of the answer. 
Result so far: 10259.63919129
Subtracting 5787 from 5840 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

In conclusion, the division gives 10259.63919129 with a balance of 5.3e-08.