Division Steps Mat
Intervention Grid System
Division Rescue Mat
DMSB Step-by-Step Helper
Name:
Date:
Our Strategy
"Does McDonald's Serve Burgers?"
D
1. Divide
How many times fits inside?
M
2. Multiply
Multiply top digit × divisor.
S
3. Subtract
Subtract to find leftover amount.
B
4. Bring Down
Bring down the next digit.
Repeat or remainder
Are there more digits to bring down? Repeat the steps. If no digits are left, write your remainder next to the R.
H
T
O
R
R
Divisor
Check Your Work
Multiply your quotient by the divisor, then add the remainder. It should match the dividend!
( Quotient × Divisor ) + Remainder = Dividend
Division Rescue Sequence Intervention Reusable dry-erase standard format
Case File Task Cards
Division Case Cards
DMSB Scaffolded Task Cards
6 Levels of Scaffolding
Case 101
Starter Step 1
Level 1
48 ÷ 3 Solve: 3 )‾‾‾48‾‾‾
Scaffold Hint: Focus on the tens column first. Ask: "How many 3s fit inside 4?"
DMSB CHECKLIST Check: Q × 3 = 48
Case 102
Starter Step 2
Level 1
85 ÷ 5 Solve: 5 )‾‾‾85‾‾‾
Scaffold Hint: After subtracting 5 from 8, remember the **Bring Down** step to drop down the 5.
DMSB CHECKLIST Check: Q × 5 = 85
Case 201
Standard Step 1
Level 2
144 ÷ 4 Solve: 4 )‾‾‾144‾‾‾
Scaffold Hint: 4 cannot go into 1. Group the first two numbers and start by dividing 14 by 4.
DMSB CHECKLIST Check: Q × 4 = 144
Case 202
Standard Step 2
Level 2
372 ÷ 3 Solve: 3 )‾‾‾372‾‾‾
Scaffold Hint: Be neat! Make sure each number fits perfectly into its column lane on your mat.
DMSB CHECKLIST Check: Q × 3 = 372
Case 301
Expert Step 1
Level 3
257 ÷ 5 Solve: 5 )‾‾‾257‾‾‾
Scaffold Hint: You will have leftovers! Write your final leftover number as the remainder (R) next to your quotient.
DMSB CHECKLIST Check: (Q × 5) + R = 257
Case 302
Expert Step 2
Level 3
489 ÷ 7 Solve: 7 )‾‾‾489‾‾‾
Scaffold Hint: This expert card has a high remainder. Double check your 7s multiplication table!
DMSB CHECKLIST Check: (Q × 7) + R = 489
Standard Division Intervention Tool Level 1: Starter | Level 2: Standard | Level 3: Expert Cut along dotted lines ✂️
Rescue Facilitation Guide
Teacher Resource Manual
Small-Group Intervention Guide
Rescue Facilitation Guide
Targeted 15-minute small-group plan to support students who struggle with long division standard alignment and sequencing (DMSB).
Session Timeline
Min 0-3 Strategy Intro
Introduce "Does McDonald's Serve Burgers?". Review DMSB steps on the mat.
Min 3-6 Model Step
Model Case #101 on a shared mat. Say each action step aloud.
Min 6-12 Guided Work
Students solve Case #102/201 on their own mats. Prompt when stuck.
Min 12-15 Verification
Verify division outputs using multiplication and check off the work.
Red Flag Error Spotting
| Misconception | Root Issue | Verbal Rescue Prompt |
|---|
| Incorrect column alignment. | Misplaced digit values above bracket. | "We are dividing the HUNDREDS column first. Point to that house on top!" |
| Remainder larger than divisor. | Did not group enough pieces. | "Your remainder is bigger than the divisor. Can we fit another group inside?" |
| Stops after bringing down. | Loses place in DMSB sequence. | "You brought down! Excellent. Check it off. Now loop back up to D." |
Answer Key
Case #101 Level 1
48 ÷ 3 = 16
D: 4÷3=1 R: 0
Case #102 Level 1
85 ÷ 5 = 17
D: 8÷5=1 R: 0
Case #201 Level 2
144 ÷ 4 = 36
D: 14÷4=3 R: 0
Case #202 Level 2
372 ÷ 3 = 124
D: 3÷3=1 R: 0
Case #301 Level 3
257 ÷ 5 = 51 R2
D: 25÷5=5 R: 2
Case #302 Level 3
489 ÷ 7 = 69 R6
D: 48÷7=6 R: 6
Division Intervention Material Confidential Teacher Copy