Complete the table.
We’ve been given a dividend and a
divisor. And the table needs us to find the
quotient and remainder. Remember that when we’re working
with division, the dividend goes inside the box and the divisor goes on the
outside. The quotient will be what we find
for the top value and the remainder will be what is left over at the end.
So let’s try it ourselves: 9295
divided by 56. First, we’ll ask “how many times
does 56 go into 92?” One time. One times 56 equals 56. From there, we do subtraction 92
minus 56. We can’t subtract six from two. So we need to borrow from our nine,
leaving us with eight in that position and bring over a one.
Now, we say 12 minus six equals six
and eight minus five equals three. And the next step we bring down our
nine. And then, we ask the question “how
many times does 56 go into 369?” I know that six times 50 is
300. So let’s see what six times 56 is
equal to. We’ll put a six at the top. From there, we need to multiply six
times 56. I know that six times six is
36. So I’ll write down the six and
carry my three. And then, I multiply six times five
which equals 30 and add three. So now, we have 33.
Our next step is to do another
round of subtraction: nine minus six equals three, six minus three equals three, and
three minus three equals zero. Bring down the remaining five. I want to pause and notice
something interesting here. We just found that six times 56
equals 336. But now, we have only 335. So we know that 56 will not go into
335 six times. It will only go five times.
This time we’ll multiply five times
56. Five times six equals 30. Write down the zero, carry the
three. Five times five is 25 plus the
three we’ve already carried is 26, 27, 28. You write down our 28.
Our next step is subtraction. We’ll subtract 280 from 335. And since we don’t have any room at
the bottom of our screen, I’ll just move it to the left. Five minus zero is five. We can’t take eight from three. So we borrow from our hundreds
place. The three becomes a two. We carry over a one. Now, we say 13 minus eight equals
five. Two minus two equals zero.
After we subtracted, we found 55
left over. We need to ask the question “can 56
be divided into 55?” And the answer to that is no
because 56 is larger than 55. And so we call 55 the remainder and
165 is our quotient.
When you divide 9295 by 56, you
have a quotient of 165 with the remainder of 55.