Solve 736/585

$$\frac{ 736 }{ 585 }$$

Evaluate

$$\frac{736}{585}\approx 1.258119658$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 736

$$\begin{array}{l}\phantom{585)}\phantom{1}\\585\overline{)736}\\\end{array}$$

Since 7 is less than 585, use the next digit 3 from dividend 736 and add 0 to the quotient

$$\begin{array}{l}\phantom{585)}0\phantom{2}\\585\overline{)736}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 736

$$\begin{array}{l}\phantom{585)}0\phantom{3}\\585\overline{)736}\\\end{array}$$

Since 73 is less than 585, use the next digit 6 from dividend 736 and add 0 to the quotient

$$\begin{array}{l}\phantom{585)}00\phantom{4}\\585\overline{)736}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 736

$$\begin{array}{l}\phantom{585)}00\phantom{5}\\585\overline{)736}\\\end{array}$$

Find closest multiple of 585 to 736. We see that 1 \times 585 = 585 is the nearest. Now subtract 585 from 736 to get reminder 151. Add 1 to quotient.

$$\begin{array}{l}\phantom{585)}001\phantom{6}\\585\overline{)736}\\\phantom{585)}\underline{\phantom{}585\phantom{}}\\\phantom{585)}151\\\end{array}$$

Since 151 is less than 585, stop the division. The reminder is 151. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }151$$

Factor

$$\frac{2 ^ {5} \cdot 23}{3 ^ {2} \cdot 5 \cdot 13} = 1\frac{151}{585} = 1.258119658119658$$