Solve 350div75

$$350 \div 75$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 350

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)350}\\\end{array}$$

Since 3 is less than 75, use the next digit 5 from dividend 350 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)350}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 350

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)350}\\\end{array}$$

Since 35 is less than 75, use the next digit 0 from dividend 350 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)350}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 350

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)350}\\\end{array}$$

Find closest multiple of 75 to 350. We see that 4 \times 75 = 300 is the nearest. Now subtract 300 from 350 to get reminder 50. Add 4 to quotient.

$$\begin{array}{l}\phantom{75)}004\phantom{6}\\75\overline{)350}\\\phantom{75)}\underline{\phantom{}300\phantom{}}\\\phantom{75)9}50\\\end{array}$$

Since 50 is less than 75, stop the division. The reminder is 50. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }50$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$