Solve 470div75

$$470 \div 75$$

Evaluate

$$\frac{94}{15}\approx 6.266666667$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 470

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)470}\\\end{array}$$

Since 4 is less than 75, use the next digit 7 from dividend 470 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)470}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 470

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)470}\\\end{array}$$

Since 47 is less than 75, use the next digit 0 from dividend 470 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)470}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 470

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)470}\\\end{array}$$

Find closest multiple of 75 to 470. We see that 6 \times 75 = 450 is the nearest. Now subtract 450 from 470 to get reminder 20. Add 6 to quotient.

$$\begin{array}{l}\phantom{75)}006\phantom{6}\\75\overline{)470}\\\phantom{75)}\underline{\phantom{}450\phantom{}}\\\phantom{75)9}20\\\end{array}$$

Since 20 is less than 75, stop the division. The reminder is 20. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }20$$

Factor

$$\frac{2 \cdot 47}{3 \cdot 5} = 6\frac{4}{15} = 6.266666666666667$$