We look at the division of 646637 by 59 
We want to divide 646637 by 59.

Let's proceed to step 1:
If we divide 6 by 59, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 59

Moving on to step 2:
When dividing 64 by 59, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 5 after subtracting 59 from 64.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 59

Advancing to step 3:
59 can be fit into 56 0 times, resulting in a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 56 leaves us with 56.
Grab the next digit (6) from the dividend, add it to 56, then carry on: 566 / 59

Advancing to step 4:
If we divide 566 by 59, we get 9 and a remainder of 35.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
Deduct 531 from 566 and we're left with 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 59

Step 5:
If we divide 353 by 59, we get 5 and a remainder of 58.
The next digit of our result is 5. 
Result so far: 1095.0
If we subtract 295 from 353, we get 58.
Include the next digit (7) from the dividend after 58, then repeat: 587 / 59

On to step 6:
587 divided by 59 is 9 with a remainder of 56.
The number 9 becomes the next digit in our result. 
Result so far: 10959.0
Deduct 531 from 587 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 7:
59 can be fit into 560 9 times, resulting in a remainder of 29.
Put 9 as the next digit of the answer. 
Result so far: 10959.9
If we subtract 531 from 560, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 8:
290 divided by 59 is 4 with a remainder of 54.
The next digit of our result is 4. 
Result so far: 10959.94
Deduct 236 from 290 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 9:
540 divided by 59 is 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 10959.949
Subtracting 531 from 540 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
If we divide 90 by 59, we get 1 and a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 10959.9491
If we take 59 away from 90, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 11:
The number 59 fits into 310 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 10959.94915
If we subtract 295 from 310, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
59 goes into 150 2 times with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 10959.949152
Deduct 118 from 150 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 13:
59 goes into 320 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 10959.9491525
Subtracting 295 from 320 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
250 divided by 59 is 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 10959.94915254
Subtract 236 from 250 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 10959.94915254 and a remainder of 1.4e-08.