Area Model Division Worksheet
Math Strategies • Grade 5
Area Model Division
Name:
Date:
How the Area Model Works
3 Simple Steps: Chunk → Subtract → Add Tops
1 Divisor Left side: size of each group
2 Friendly Chunks Top: partial quotients (×10, ×20, ×100)
Inside: partial products subtracted
3 Add Tops Sum of top numbers is the quotient!
Fact Warm-Up: Skip-Count by 7s Add 7 each time to spot your friendly chunks:
7 14 21 28 35 42 49 63
1
Guided Walkthrough: \( 343 \div 7 \)
Split the total 343 into easy chunks of 7.
Dividend: 343 • Divisor: 7
7s Fact Helper
7 × 20 = 140
7 × 40 = 280 ★
7 × 50 = 350 (over)
7 × 9 = 63 ★
💡 Tip: 280 gets closest to 343 without going over!
Tens
40
Ones
9
7 side
7 × 40 280 Part 1
7 × 9 63 Part 2
Track Leftovers:
3 4 3
− 2 8 0 (Chunk 1)
6 3 → Move over
− 6 3 (Chunk 2)
0 ✔ Done
Combine partial quotients: 40 + 9 = 49
Final Answer:
49
Turn to page 2 to try with your own scaffolded models!
Your Turn: Practice with Support
Pick friendly facts from each toolbox to fill the area model step by step.
Page 2 of 2
2 Divide: \( 312 \div 4 \)
Divisor = 4 • Total = 312
4s Facts Toolbox
4 × 20= 80
4 × 50= 200
4 × 70= 280 ★
4 × 8= 32 ★
Use 70 on top for Box 1!
Tens Chunk
Ones Chunk
4
4 × _____ =
tens area
4 × _____ =
ones area
Subtract:
3 1 2
− 2 8 0 (4 × 70)
3 2 → next box
− 3 2 (4 × 8)
0 ✔
Top sum: _____ + _____ =
Quotient:
3 Divide: \( 1{,}620 \div 5 \)
Divisor = 5 • Total = 1,620
5s Facts Toolbox
5 × 100= 500
5 × 300= 1,500 ★
5 × 20= 100 ★
5 × 4= 20 ★
Use 300 for hundreds, 20 for tens!
Hundreds
Tens
Ones
5
5 × ___ =
100s
5 × ___ =
10s
5 × ___ =
1s
Subtract:
1 6 2 0
− 1 5 0 0 (5 × 300)
1 2 0 → next
− 1 0 0 (5 × 20)
2 0 → next
− 2 0 (5 × 4)
0 ✔
Top sum: _____ + _____ + _____ =
Quotient:
Quick Check:
Did I keep my products under the total? Did I add all the top numbers together?