🇬🇧 UK Method: Step-by-Step Long Division Calculator
In the British curriculum (KS2/GCSE), long division is typically taught using the “Bus-Stop” method for short division, and extended subtraction steps for 2-digit divisors. Enter a number (Dividend) and what you are dividing by (Divisor) below to see the exact step-by-step breakdown used in UK schools!
This is the common british/international way to make divisions.
But, for example Germany teaches Divisions like that:
🇩🇪 Continental Method: German Standard Division Calculator
In many European countries (such as Germany and France), long division is taught using a structured subtraction-and-drop layout emphasizing decimal expansion and remainder tracking. Test the same numbers here to compare how the steps differ from the UK Bus-Stop method!
📄 KS2 / GCSE Practice Worksheet: Long Division Methods
Name: __________________________ Class: ____________ Date: ____________
Calculate 924 ÷ 6 using the traditional UK bus-stop layout. Show your remainder if applicable.
Calculate 1,452 ÷ 12. Compare how the grouping differs between a 1-digit and a 2-digit divisor.
A school has 780 pupils and organizes transport using coaches holding 35 children each. How many full coaches are needed, and how many children will be on the final partial coach?
The British Way: The “Bus Shelter” Method
In the UK, teachers usually show students a method called the “bus shelter” or “short division” (and its bigger cousin, “long division”). It is called the bus shelter because the symbol you draw looks a bit like a little roof with a wall next to it.
Imagine you want to divide 648 by 4.
1. You write the 4 on the outside of the shelter, and the 648 safely inside.
2. You look at the first number (6) and ask, “How many times does 4 fit into 6?” It fits 1 time, with 2 left over.
3. You write the 1 on top of the roof, and put the little leftover 2 next to the next number (making it 24).
4. Then you ask, “How many times does 4 fit into 24?” It fits 6 times. You write the 6 on the roof.
5. Finally, you see how many times 4 goes into the last number (8), which is 2.
Your final answer sits proudly on top of the roof: 162. It is neat, fast, and stays in one tight little space.
The German Way: The “Subtraction Tower” Method
In Germany, teachers often use a method that looks more like a set of stairs or a tower. Instead of hiding the leftover numbers in tiny notes, Germany’s style makes you write out the subtraction steps right underneath.
Let’s use the exact same problem: 648 divided by 4.
1. You write it like this: 648 : 4 =
2. You look at the 6 and know 4 goes into it 1 time. But instead of putting a small leftover number, you write out the multiplication: 1 x 4 = 4.
3. You write that 4 right underneath the 6 and subtract them: 6 minus 4 equals 2.
4. Next, you “drop down” the next digit from your big number (the 4), making your new number 24.
5. You ask how many times 4 goes into 24 (it is 6), write down 6 in the answer space, and write 24 underneath to subtract again, leaving 0.
By the time you finish, you have a tall tower of numbers showing every single subtraction you did along the way.
Which One Is Better?
Neither! They are just different traditions.
The British way is like a ninja—it is quiet, takes up less space, and keeps most of the math inside your head.
The German way is like a scientist—it writes everything down on paper so you can see every single step clearly and never get confused about where your numbers came from.
No matter which method you use, as long as you follow the rules, you will always end up at the correct answer!