Solve 735div675

$$735 \div 675$$

Evaluate

$$\frac{49}{45}\approx 1.088888889$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 735

$$\begin{array}{l}\phantom{675)}\phantom{1}\\675\overline{)735}\\\end{array}$$

Since 7 is less than 675, use the next digit 3 from dividend 735 and add 0 to the quotient

$$\begin{array}{l}\phantom{675)}0\phantom{2}\\675\overline{)735}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 735

$$\begin{array}{l}\phantom{675)}0\phantom{3}\\675\overline{)735}\\\end{array}$$

Since 73 is less than 675, use the next digit 5 from dividend 735 and add 0 to the quotient

$$\begin{array}{l}\phantom{675)}00\phantom{4}\\675\overline{)735}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 735

$$\begin{array}{l}\phantom{675)}00\phantom{5}\\675\overline{)735}\\\end{array}$$

Find closest multiple of 675 to 735. We see that 1 \times 675 = 675 is the nearest. Now subtract 675 from 735 to get reminder 60. Add 1 to quotient.

$$\begin{array}{l}\phantom{675)}001\phantom{6}\\675\overline{)735}\\\phantom{675)}\underline{\phantom{}675\phantom{}}\\\phantom{675)9}60\\\end{array}$$

Since 60 is less than 675, stop the division. The reminder is 60. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }60$$

Factor

$$\frac{7 ^ {2}}{3 ^ {2} \cdot 5} = 1\frac{4}{45} = 1.0888888888888888$$