How many zeros are there at the end of the number which is the
product of first hundred positive integers?
Age 14 to 16 Challenge Level:
The 'Galley' method of division was probably the most widely used
method of division prior to the 1600s. It is called 'Galley'
because, when completed, a division looks a bit like a galley
The Galley method is thought to be Hindu in origin and an early
version of this method was known to be used in the ninth century by
a Persian called Al-Khowarizmi. It is still taught in parts of
North Africa and the Middle East today.
This is how you could work out $65284$ divided by $594$ using the
Can you see the two numbers I started with?
The calculation tells me that $ 625284 \div 594 = 109$
Can you see the answer and the remainder?
Here's another division done using the Galley method:
What division do you think is being done here?
What is the answer to this division?
Here are two video clips of divisions using Galley
If you are struggling to see what
is happening, try the division using your own method and see if you
can recognise numbers that are appearing in the galley method that
are also in your own recording. If you need further guidance, there
is a division, showing each of the main steps and some explanation,
hints section of this problem.
Send us answers to the following divisions showing that you
have used the same method. $$2986 \div 47$$
$$76254 \div 235$$
Why does the method work?
How does this method compare with our modern methods of
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.