Long Division with Step-by-Step AnswersFREEWorksheet Generator(Grades 4-6)
Generate free printable long division worksheets without remainders. Authentic bracket layout with step-by-step DMSB intermediate keys for Grades 4โ6.
The 4-Step DMSB Cycle Walkthrough
Consider solving 492 รท 4 inside the curved division bracket:
- Divide: How many times does 4 go into 4? Exactly 1 time. Write 1 above the 4 in the hundreds place.
- Multiply: Multiply 1 ร 4 = 4. Write 4 below the dividend's hundreds digit.
- Subtract: Subtract 4 - 4 = 0.
- Bring Down: Bring down the next digit (9) to make 09.
- Repeat the Cycle: 4 goes into 9 twice (write 2 in tens place), 2 ร 4 = 8, 9 - 8 = 1. Bring down the 2 to make 12. 4 goes into 12 three times (write 3 in ones place), 3 ร 4 = 12, 12 - 12 = 0! Final Quotient: 123.
How to Avoid the Infamous 'Zero in the Quotient' Trap
When dividing numbers like 816 รท 4, many students mistakenly write 24 instead of 204. Why? After dividing 8 รท 4 = 2, they bring down the 1. Since 4 cannot go into 1, students often bring down the 6 without writing a 0 in the quotient! PanMaths worksheets feature emerald step-by-step unravellings that explicitly highlight each place-value slot: 1 รท 4 = 0, so a zero MUST be written in the tens column before bringing down the next digit.
Dual-Version Anti-Cheat Printing for Math Classrooms
Every worksheet generated on PanMaths is optimized for standard US Letter and A4 printers. The printable canvas features generous vertical pencil workspace for column scratchwork. Teachers can toggle between Set A and Set B to print two distinct sheets with identical difficulty, stopping wandering eyes during desk tests. The second page prints an emerald step-by-step DMSB evaluation key for effortless 60-second grading.