A method for dividing multiple-digit natural numbers into other natural numbers. The method is ultimately the same as when dividing single-digit natural numbers but presented differently as the remainder at each stage may be multiple-digit. For example, the division of 23 into 5615 is presented above.

long division of integers

This shows that 5615 = 244 × 23 + 3. As with normal division of single-digit numbers, 23 does not divide into 5, but does twice into 56 with remainder 10, which is written beneath. The process continues until a remainder is found.

This notation can similarly be used for long division of polynomials. The second long division shows that

long division of polynomials

See division algorithm.