We look at the division of 75638468 by 151 
Our goal is to divide 75638468 by 151.

Step 1:
When dividing 7 by 151, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 151

Advancing to step 2:
151 can be fit into 75 0 times, resulting in a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 75, we end up with 75.
Bring next digit (6) of the dividend behind the 75 and repeat the process: 756 / 151

Going ahead to step 3:
756 divided by 151 is 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 755 from 756 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 151

Advancing to step 4:
13 divided by 151 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 50.0
The remainder is 13 after subtracting 0 from 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 151

Going ahead to step 5:
The number 151 fits into 138 0 times, leaving a remainder of 138.
Record the quotient 0 as the next digit in the result. 
Result so far: 500.0
Subtract 0 from 138 to get 138.
Append the next digit (4) from the dividend to 138 and continue with: 1384 / 151

Moving on to step 6:
The number 151 fits into 1384 9 times, leaving a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 5009.0
Deduct 1359 from 1384 and we're left with 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 151

Let's proceed to step 7:
When dividing 256 by 151, we get 1 with a remainder of 105.
Use 1 as the next digit of our solution. 
Result so far: 50091.0
Subtract 151 from 256 to get 105.
Fetch the next digit (8) from the dividend, attach it to 105 and continue: 1058 / 151

Going ahead to step 8:
If we divide 1058 by 151, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 500917.0
Subtracting 1057 from 1058 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
The number 151 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 500917.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
100 divided by 151 is 0 with a remainder of 100.
Use 0 as the next digit of our solution. 
Result so far: 500917.0
Subtracting 0 from 100 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

After the division, we end up with 500917.0 and a remainder of 0.1.