1. A method for high-radix multiplication and division of fractions in radix r including a multiplicand A=0·a −1 a −2. .. a −n , multiplier B=0·b −1 b −2. .. b −n , and a divisor D=0·d −1 d −2. .. d −n so that ( AB D ) where AB<D, using an electronic calculating device configured to carry out the steps of the method, comprising the steps of: (a) inputting the multiplicand and initializing a partial remainder to equal b −1 Ar −1 , (b) initializing an iteration counter j=1; (c) initializing a quotient register to equal 0; (d) shifting the quotient register left by the radix; (e) looking up a quotient digit in a digital lookup table using the partial remainder and the divisor D; (f) storing the quotient digit in the quotient register's least significant bits; (g) shifting the partial remainder left by the radix; (h) setting the partial remainder equal to the shifted partial remainder minus the product of the quotient digit and the divisor plus the quantity b −j−1 Ar −1 ; (i) incrementing the counter j by one; (j) repeating steps (d) through (i) by a number of iterations equal to the number of bits in the quotient register divided by Log 2 r; (k) subtracting one from the quotient register and adding the divisor to the partial remainder when the partial remainder of step (h) is negative; and (l) setting the quotient equal to the quotient register and the remainder equal to the partial remainder.