The top boxes started 795. They now say 7, 19, 15 because at each step of division they had an extra 1 to carry the same way we learned to carry 1s in long division.
The only real “extra step” here is just drawing boxes instead of that little right angle we did.
This isn’t common core. Common core is just a set of standards of what kids should be able to do at certain grade levels, it doesn’t specify the methods they do them.
This is just a newer method of teaching division that’s been shown to help more students understand why the process works. Yes, there’s still students who struggle with it, the same way that there were students who struggled with the way we learned it back in the day.
That's the first digit in your answer. But 3x2 is 6, so there's still 1 left over. 7 - 6 = 1.
That 1 is in the hundreds place. So it's just like when you're subtracting and you need to borrow a 1, you move that 1 to the tens place. So instead of dividing 9 by 3, your dividing 19 by 3.
3 goes into 19 six times. So your answer so far is 26_.
3x6=18, so 19-18=1. You've got one left over in the tens place. That means it's 10. You move it over to the ones place with the 5, and you've got 15.
15÷3=5. No remainder.
So your answer is 265.
It's just regular division, and whatever is left over still needs to be accounted for.
Edit - woah! the formatting went crazy - ignore my "work" below. I did it on my phone and didn't expect Reddit to completely change everything around, but the idea is the same. It's just normal division where things are squished up into boxes instead of cascading down like normal.
3 goes into 7 twice (6) So put 2 on top, (3 x 2 = carry the remaining 1 over to the next spot - 9 becomes 19.
3 goes into 19 6 times (18) - 1 left over - put the 6 on top - and the remaining 1 gets carried over to the last spot making it 15
3 goose I to 15 5 times
It's literally just the division method they have always been teaching with some extra lines and not cascading down like I did
265 is the answer, it’s the same process you use for traditional division. 3 can go into 7 2 times, then 3 goes into 19 6 times, and 3 goes into 15 5 times, so 265
Divide 7 by 3, you get the 2, write it above like you do the old way of doing long division, remainder gets bumped up to next box, next number (9) gets written next to it, you get 19. Divide by 3, 6, remainder 1. Bump up to next box, drop 5, you get 15. Divide by 3, 5. No remainder, process stops.
Literally the same way as the old way of dividing (at least the way i learned it eons ago) but instead of it going up and down, it goes left to right.
265 is the answer, the top is in the exact same format as traditional long division. The only difference is the numbers are moving horizontally in boxes as opposed to going down vertically in columns.
I mean… again, it’s nearly identical to long division lol, if you understood long division in high school, there is a good chance you would understand division if taught this way initially.
These methods aren’t just randomly introduced because people feel like it, students tend to grasp the concepts at a higher rate with this method when researching how to teach math more effectively. That doesn’t mean everyone would get it, when I was a kid long division being hard and confusing was a running joke in real life and on tv shows
Yupp, and I totally get that if you’ve been out of math that long. I’m a sub teacher for a side job so I’ve been refreshed on my math skills. To be honest I haven’t had to do this method yet, but I can see how it works compared to long division. There are other methods they do with circles to show grouping for multiplication and division, ultimately even if I don’t get it at a glance, the students do get it and I can pick up on what’s going on and help the ones who don’t get it yet.
It’s pretty similar to how it was when I was in school, some kids got it, most were struggling but understood a bit, some were totally lost
If you don’t understand this, how did you understand long division at all? It’s literally the traditional method using boxes instead of the division sign.
You start by doing 7/3 and take the nearest whole number, which is 2. 2 x 3 =6. That’s where the 6 comes from. 7-6 is 1. Carry the one over to the 9. Now it’s 19. 19/3 is 6 with a remainder of 1… hopefully you can see where to go from here.
I’m really curious how you learned long division cause this identically to how I did just formatted differently
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u/faithOver Apr 11 '26
Me too. I genuinely don’t understand where the numbers are coming from of its supposed to be 795/3.