38876643 ÷ 842 
Our goal is to divide 38876643 by 842.

Advancing to step 1:
The number 842 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 842

Step 2:
38 divided by 842 is 0 with a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Take the next digit (8) from the dividend and append it to 38, then repeat: 388 / 842

On to step 3:
842 goes into 388 0 times with a remainder of 388.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 388 leaves us with 388.
Append the next digit (7) from the dividend to 388 and continue with: 3887 / 842

Let's proceed to step 4:
The number 842 fits into 3887 4 times, leaving a remainder of 519.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 3368 from 3887, we get 519.
Bring next digit (6) of the dividend behind the 519 and repeat the process: 5196 / 842

Step 5:
5196 divided by 842 is 6 with a remainder of 144.
The next digit of our result is 6. 
Result so far: 46.0
If we take 5052 away from 5196, we end up with 144.
Append the next digit (6) from the dividend to 144 and continue with: 1446 / 842

Let's proceed to step 6:
842 goes into 1446 1 times with a remainder of 604.
Record the quotient 1 as the next digit in the result. 
Result so far: 461.0
The remainder is 604 after subtracting 842 from 1446.
Append the next digit (4) from the dividend to 604 and continue with: 6044 / 842

On to step 7:
842 can be fit into 6044 7 times, resulting in a remainder of 150.
Record the quotient 7 as the next digit in the result. 
Result so far: 4617.0
Deduct 5894 from 6044 and we're left with 150.
Take the next digit (3) from the dividend and append it to 150, then repeat: 1503 / 842

Let's proceed to step 8:
When dividing 1503 by 842, we get 1 with a remainder of 661.
The next digit of our result is 1. 
Result so far: 46171.0
Subtracting 842 from 1503 leaves us with 661.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6610, and continue the process.

Let's proceed to step 9:
842 goes into 6610 7 times with a remainder of 716.
Put 7 as the next digit of the answer. 
Result so far: 46171.7
Subtract 5894 from 6610 to get 716.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7160, and continue the process.

Advancing to step 10:
If we divide 7160 by 842, we get 8 and a remainder of 424.
The next digit of our result is 8. 
Result so far: 46171.78
Subtract 6736 from 7160 to get 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Moving on to step 11:
When dividing 4240 by 842, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 46171.785
Subtracting 4210 from 4240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
The number 842 fits into 300 0 times, leaving a remainder of 300.
Put 0 as the next digit of the answer. 
Result so far: 46171.785
If we subtract 0 from 300, we get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Moving on to step 13:
842 can be fit into 3000 3 times, resulting in a remainder of 474.
Put 3 as the next digit of the answer. 
Result so far: 46171.78503
Deduct 2526 from 3000 and we're left with 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

Advancing to step 14:
842 goes into 4740 5 times with a remainder of 530.
The next digit of our result is 5. 
Result so far: 46171.785035
Subtracting 4210 from 4740 leaves us with 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

On to step 15:
If we divide 5300 by 842, we get 6 and a remainder of 248.
Put 6 as the next digit of the answer. 
Result so far: 46171.7850356
Subtract 5052 from 5300 to get 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Advancing to step 16:
The number 842 fits into 2480 2 times, leaving a remainder of 796.
Use 2 as the next digit of our solution. 
Result so far: 46171.78503562
If we take 1684 away from 2480, we end up with 796.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7960, and continue the process.

In conclusion, the division gives 46171.78503562 with a balance of 7.96e-07.