1. **State the problem:** We need to divide 945 by 35 using the partial quotients method. 2. **Explain the method:** Partial quotients division involves subtracting multiples of the divisor from the dividend step-by-step until what remains is less than the divisor. Then, sum all the multiples (quotients) to get the final answer. 3. **Start dividing:** - Subtract $35 \times 20 = 700$ from 945: $$945 - 700 = 245$$ - Subtract $35 \times 7 = 245$ from 245: $$245 - 245 = 0$$ 4. **Sum the partial quotients:** $$20 + 7 = 27$$ 5. **Final answer:** $$\boxed{27}$$ So, 945 divided by 35 equals 27 using partial quotients division.