[Verse 1]
When you divide any number by another
There's a pattern that will never fail
Take your dividend, call it letter a
And your divisor b, here's the tale
You'll get a quotient q that multiplies clean
Plus a remainder r, small and lean
[Chorus]
A equals b times q plus r
That's the formula, near and far
Zero less than or equal to r, less than b
Division algorithm, the key you need
Quotient and remainder, unique and true
This foundation will carry you through
[Verse 2]
Say you have seventeen divided by five
The quotient q is three, that's right
Three times five is fifteen, but we're not done
There's two left over, shining bright
Seventeen equals five times three plus two
And two is less than five, the rule rings true
[Chorus]
A equals b times q plus r
That's the formula, near and far
Zero less than or equal to r, less than b
Division algorithm, the key you need
Quotient and remainder, unique and true
This foundation will carry you through
[Bridge]
The remainder's always smaller than divisor b
Never negative, that's the guarantee
This simple truth unlocks so much more
It's the mathematical foundation at the core
[Verse 3]
For any integers you want to try
As long as b is greater than zero
There exist unique q and r every time
Making you a division hero
This isn't deep, just divide with remainder
But it builds the path for every trainer
[Chorus]
A equals b times q plus r
That's the formula, near and far
Zero less than or equal to r, less than b
Division algorithm, the key you need
Quotient and remainder, unique and true
This foundation will carry you through
[Outro]
When you see division, remember this song
A equals b q plus r, you can't go wrong
The algorithm that never fails
Your mathematical wind in your sails