Say we have the division algorithm
Where X,Y,Z represent a non-zero digit and the remainder is Y. What is the three-digit number XYZ?
From what I gather, I re-arranged the division into an equation: $$100x+10y+z = 8x+y+80z$$
Which simplifies into $$92x+9y = 79z$$ This equation is unhelpful, since it contains three variables. What other equations can I derive to find the value of each pro numeral? Should I consider long division properties to find more expressions?