642181 divided by 8 
Our goal is to divide 642181 by 8.

Let's proceed to step 1:
The number 8 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 8

Step 2:
If we divide 64 by 8, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 64 from 64, we get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 8

Let's proceed to step 3:
When dividing 2 by 8, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 8

Step 4:
21 divided by 8 is 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 802.0
If we take 16 away from 21, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 8

Let's proceed to step 5:
When dividing 58 by 8, we get 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 8027.0
The remainder is 2 after subtracting 56 from 58.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 8

Going ahead to step 6:
8 can be fit into 21 2 times, resulting in a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 80272.0
The remainder is 5 after subtracting 16 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
When dividing 50 by 8, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 80272.6
If we take 48 away from 50, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
If we divide 20 by 8, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 80272.62
If we take 16 away from 20, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
When dividing 40 by 8, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 80272.625
If we subtract 40 from 40, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
0 divided by 8 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 80272.625
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
The number 8 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 80272.625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 80272.625, with a leftover of 0.0.