Is there a method to get the first $n$ digits of a quotient (ex. a thousand digit number divided by a 5 digit number) without dividing all the way through? I suppose long division until $n$ digits are produced will work, but that is not very elegant.
2026-03-31 17:50:11.1774979411
Get first digits of a very large quotient
40 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in DIVISIBILITY
- Reciprocal-totient function, in term of the totient function?
- Can we find integers $x$ and $y$ such that $f,g,h$ are strictely positive integers
- Positive Integer values of a fraction
- Reciprocal divisibility of equally valued polynomials over a field
- Which sets of base 10 digits have the property that, for every $n$, there is a $n$-digit number made up of these digits that is divisible by $5^n$?
- For which natural numbers are $\phi(n)=2$?
- Interesting property about finite products of $111..1$'s
- Turn polynomial into another form by using synthetic division
- Fractions of the form $\frac{a}{k}\cdot\frac{b}{k}\cdot\frac{c}{k}\cdots=\frac{n}{k}$
- Proof: If $7\mid 4a$, then $7\mid a$
Related Questions in DECIMAL-EXPANSION
- Finding the period of decimal
- Which sets of base 10 digits have the property that, for every $n$, there is a $n$-digit number made up of these digits that is divisible by $5^n$?
- Is a irrational number still irrational when we apply some mapping to its decimal representation?
- Why the square root of any decimal number between 0 and 1 always come out to be greater than the number itself?
- Why does the decimal representation of (10^x * 10^y) always suffix the same representation in binary?
- Digit sum of $x$ consisting of only 3,4,5,6 = digit sum of $2x$
- How many 3 digits numbers are equal to the sum of their first digit plus their second digit squared plus the third cubed?
- Is it possible to determine if a number is infinitely long?
- What is the logic behind the octal to decimal conversion using the expansion method?
- Is the real number whose $n^{\rm th}$ digit after the decimal point in decimal representation is the leading digit of $2^n$ a rational number?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?