1. Partial Quotients
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2. Strategy 1
Hangman Division

3. 248 ÷ 4 4
248
-120 30
128
-120 30 8 2 -8
Step 1 – Make the Hangman Board.
Step 2 – Place the dividend (248) and the divisor (4) on the board.
Step 3 – Use friendly factors to solve. (Each friendly factor is a partial quotient.)
Step 4 – Subtract the product (ie 4 x 30=120).
Step 5 – Repeat steps 3 and 4 until the difference is less than the divisor.
Step 6 – Add all the friendly factors. These are your partial quotients.
Step 7 – The sum of the friendly factors is your quotient (62), the difference is your remainder (0) if any. 62
248 ÷ 4 = (120÷4) + (120÷4) + (8÷4)
= ………..
= 62……………………….

4. Rectangular Array Division
Strategy 2
Rectangular Array Division

5. 348 ÷ 4
4 x ? = 300
Doesn’t work easily.
Use friendly numbers. 60 20 + 7 +
= 87 4
240 80 28
Step 1: Think about how to break apart the dividend (248).
*Using place value?
*Using Friendly numbers? (Friendly numbers are multiples of the divisor.)
Step 2: Create a rectangular array.
Step 3: Place the partial dividends (240,80,28) and the divisor (4) in the model.
Step 4: Use “Think Multiplication” to find each partial quotient.
Step 5 : Add the partial quotients.
348 ÷ 4 = (240÷4) + (80÷4) + (28÷4)
= ………..
= 87……………………….

6. Vocabulary Connection