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"by the numbers" is correct and can be used in written English.
It typically means to do something in an organized and methodical way, often according to a set of instructions. For example, "He completed his assembly project by the numbers."
Dictionary
by the numbers
phrase
To do something exactly, precisely, or in a formulaic way.
synonyms
Exact(60)
"He's by the numbers.
Evolution by the numbers.
By the Numbers" (Ripley Entertainment, 2004).
Here is China by the numbers.
I stand by the numbers.
People were mesmerised by the numbers".
"We're not surprised by the numbers.
Many collectors were seduced by the numbers.
Just by the numbers, it's completely unrealistic.
At first, everything's by the numbers.
"People were scared by the numbers".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com