6643875 ÷ 157 
Our goal is to divide 6643875 by 157.

Step 1:
If we divide 6 by 157, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 157

Step 2:
The number 157 fits into 66 0 times, leaving a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Fetch the next digit (4) from the dividend, attach it to 66 and continue: 664 / 157

Moving on to step 3:
When dividing 664 by 157, we get 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 628 away from 664, we end up with 36.
Grab the next digit (3) from the dividend, add it to 36, then carry on: 363 / 157

Going ahead to step 4:
When dividing 363 by 157, we get 2 with a remainder of 49.
Write down 2 as next digit of the result. 
Result so far: 42.0
Subtracting 314 from 363 leaves us with 49.
Bring next digit (8) of the dividend behind the 49 and repeat the process: 498 / 157

Going ahead to step 5:
498 divided by 157 is 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 423.0
Subtract 471 from 498 to get 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 157

Advancing to step 6:
The number 157 fits into 277 1 times, leaving a remainder of 120.
The next digit of our result is 1. 
Result so far: 4231.0
If we subtract 157 from 277, we get 120.
Append the next digit (5) from the dividend to 120 and continue with: 1205 / 157

On to step 7:
157 can be fit into 1205 7 times, resulting in a remainder of 106.
Write down 7 as next digit of the result. 
Result so far: 42317.0
If we subtract 1099 from 1205, we get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

On to step 8:
When dividing 1060 by 157, we get 6 with a remainder of 118.
Write down 6 as next digit of the result. 
Result so far: 42317.6
Deduct 942 from 1060 and we're left with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Step 9:
The number 157 fits into 1180 7 times, leaving a remainder of 81.
The number 7 becomes the next digit in our result. 
Result so far: 42317.67
The remainder is 81 after subtracting 1099 from 1180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 10:
If we divide 810 by 157, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 42317.675
If we subtract 785 from 810, we get 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 11:
157 can be fit into 250 1 times, resulting in a remainder of 93.
The next digit of our result is 1. 
Result so far: 42317.6751
Subtract 157 from 250 to get 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

On to step 12:
The number 157 fits into 930 5 times, leaving a remainder of 145.
Put 5 as the next digit of the answer. 
Result so far: 42317.67515
Subtract 785 from 930 to get 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Moving on to step 13:
If we divide 1450 by 157, we get 9 and a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 42317.675159
The remainder is 37 after subtracting 1413 from 1450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 14:
370 divided by 157 is 2 with a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 42317.6751592
The remainder is 56 after subtracting 314 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 15:
560 divided by 157 is 3 with a remainder of 89.
The next digit of our result is 3. 
Result so far: 42317.67515923
If we take 471 away from 560, we end up with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

The final outcome is 42317.67515923, with a leftover of 8.9e-08.