Solve 690/180

$$\frac { 690 } { 180 }$$

Evaluate

$$\frac{23}{6}\approx 3.833333333$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 690

$$\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)690}\\\end{array}$$

Since 6 is less than 180, use the next digit 9 from dividend 690 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)690}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 690

$$\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)690}\\\end{array}$$

Since 69 is less than 180, use the next digit 0 from dividend 690 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)690}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 690

$$\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)690}\\\end{array}$$

Find closest multiple of 180 to 690. We see that 3 \times 180 = 540 is the nearest. Now subtract 540 from 690 to get reminder 150. Add 3 to quotient.

$$\begin{array}{l}\phantom{180)}003\phantom{6}\\180\overline{)690}\\\phantom{180)}\underline{\phantom{}540\phantom{}}\\\phantom{180)}150\\\end{array}$$

Since 150 is less than 180, stop the division. The reminder is 150. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }150$$

Factor

$$\frac{23}{2 \cdot 3} = 3\frac{5}{6} = 3.8333333333333335$$