Let's explore how to divide 801 by 8. In this division problem, 801 is called the dividend, and 8 is the divisor. Our goal is to find how many times 8 fits into 801.
Now we'll use the long division method. We set up the problem with 801 under the division bracket and 8 outside. We work from left to right, determining how many times 8 goes into each part of 801. First, 8 goes into 8 exactly once. Then we bring down the 0, and 8 goes into 0 zero times. Finally, we bring down the 1, and 8 goes into 1 zero times with remainder 1.
Let's go through each step carefully. First, we ask how many times 8 goes into 8 - that's 1. We write 1 above the 8. Then we multiply 1 by 8 to get 8, subtract that from 8 to get 0. Next, we bring down the 0, making 0. How many times does 8 go into 0? Zero times. We write 0 next to our quotient. Then we bring down the 1, making 1. How many times does 8 go into 1? Zero times with remainder 1. So our quotient is 100 with remainder 1.
There are several ways to express our answer. First, we can write it as 100 remainder 1. This means 8 goes into 801 exactly 100 times with 1 left over. We can also express this as a mixed number: 100 and 1 eighth. Finally, we can convert the fractional part to a decimal. Since 1 divided by 8 equals 0.125, our final answer is 100.125.
To verify our answer is correct, we can use multiplication, which is the inverse operation of division. First, we multiply our quotient 100 by the divisor 8, which gives us 800. Then we add the remainder 1, resulting in 801 - our original dividend. This confirms our answer is correct. We can also check our decimal answer: 100.125 multiplied by 8 equals exactly 801, further verifying our solution.