TwoDigit Divisor in Long Division
This is a complete lesson with examples and exercises about twodigit divisor in long division, meant for initial teaching in 5th grade. The first exercises have grids to complete the division, and space for students to write the multiplication table of the divisor in the margin. Then there are conversion problems between inches/feet and ounces/pounds, because those are solved with division.
Often, it is helpful to write the multiplication table of the divisor before you divide.  
Example 1. The division is by 16. Here is the multiplication table of 16: 3 × 16 = 48 
16 goes into 5 zero times, so we look at 55. How many times does 16 go into 55? Check in the table on the left. We see it goes into 55 three times. 
Now, how many times does 16 go into 76? From the table we can see that it is four times. 
Lastly, 16 goes into 128 exactly 8 times, and the division is over. 

Example 2. We are dividing by 32. Here is the multiplication table of 32: 3 × 32 = 96 

32 goes into 150 four times. 
32 goes into 224 seven times. Notice there is a remainder. 
1. Divide. First write a multiplication table for the divisor. Check each answer by multiplying.

2. Divide. First write a multiplication table for the divisor. Check each answer by multiplying.







3. Divide. Check each answer by multiplying.







4. Mental math! If 20 goes into
800 forty times, then 20 goes into 820 one time more,
or 41 times. In each box, use the top problem to help you solve the bottom
problem.
a. 800 ÷ 20 =
820 ÷ 20 = 
b. 700 ÷ 50 =
750 ÷ 50 = 
c. 150 ÷ 15 =
300 ÷ 15 = 
d. 480 ÷ 40 =
520 ÷ 40 = 
e. 600 ÷ 30 =
690 ÷ 30 = 
f. 1,200 ÷ 60 =
1,320 ÷ 60 = 
5. a. How many inches are in one foot?
b. Convert 245 inches into feet and inches.
c. Convert 387 inches into feet and inches.
6. a. How many ounces are in one pound?
b.
Convert 163 ounces into pounds
and ounces.
c.
Convert 473 ounces into pounds
and ounces.
7. A newborn baby gains weight at
approximately one ounce per day.
Suppose that the baby gained weight
at that rate for a FULL YEAR.
(In reality, babies donâ€™t; their
growth rate slows down.) How many
pounds and ounces would the baby
gain in a year?
This lesson is taken from my book Math Mammoth Multiplication & Division 3.
Math Mammoth Multiplication & Division 3
A selfteaching worktext for 5th grade that covers multidigit multiplication, long division, problem solving, simple equations, ratios, divisibility, and factoring.
Download ($7.40). Also available as a printed copy.