long division


  • Partial Quotients Too?!

    Partial Quotients Too?!

    There is a difference of opinion on what is essential to teach in math. Partial Quotients algorithm (and the Standard Algorithm for division) are topics I believe are worth discussing regarding the need to master these beyond a single digit divisor. In response to the post on the value of teaching Long Division by muli-digit…


  • Long Division: Should it be Long Gone?

    Long Division: Should it be Long Gone?

    I have seen many students struggle with long division (especially the Standard Algorithm but also the Partial Quotients Algorithm). Similarly, I have seen many teachers lament this lack of proficiency. I suggest that it is prudent to conduct a cost-benefit analysis for learning these algorithms for division beyond 1-digit divisors. If students understand the concept…


  • Long Division Scaffolded Handout 3-digit Divided by 1-Digit

    Long Division Scaffolded Handout 3-digit Divided by 1-Digit

    I created scaffolded handouts for 3-digit divided by 1-digit as a follow up to the previous scaffolded handout of 4-digit divided by 1-digit. Here are links (Word, PDF).


  • Long Division – Scaffolded Handout

    Long Division – Scaffolded Handout

    Many teachers shared that long division is one of the hardest math topics to teach. A major factor is likely related to a lack of mastery of multiplication facts. I have posted about some strategies related to multiplication. Here is a handout my initial attempt at scaffolding long division (WORD, PDF). There are 4 versions:…


  • Long Division for Students who Struggle

    Making the concept of long division accessible: Start with simpler problem Use base ten blocks (and later with drawings as seen in the photo) and have students model each step of the long division with the base ten blocks. Do this for each step. Follow with more complicated problems See link  to document with full explanation.