Algorithms for Euclidean (i.e., integer) division by a constant operation are presented. They allow fast computation for some values of the divisor (known at compile time) or also when both quotient and modulus are required. These algorithms are based on the multiply-accumulate instruction and the 40-bit arithmetic available in DSPs such as the ST100 DSP from STMicroelectronics. The results are demonstrated in the case of standard speech coding applications.