Solve 6470div91

$$6470 \div 91$$

Evaluate

$$\frac{6470}{91}\approx 71.098901099$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6470

$$\begin{array}{l}\phantom{91)}\phantom{1}\\91\overline{)6470}\\\end{array}$$

Since 6 is less than 91, use the next digit 4 from dividend 6470 and add 0 to the quotient

$$\begin{array}{l}\phantom{91)}0\phantom{2}\\91\overline{)6470}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 6470

$$\begin{array}{l}\phantom{91)}0\phantom{3}\\91\overline{)6470}\\\end{array}$$

Since 64 is less than 91, use the next digit 7 from dividend 6470 and add 0 to the quotient

$$\begin{array}{l}\phantom{91)}00\phantom{4}\\91\overline{)6470}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 6470

$$\begin{array}{l}\phantom{91)}00\phantom{5}\\91\overline{)6470}\\\end{array}$$

Find closest multiple of 91 to 647. We see that 7 \times 91 = 637 is the nearest. Now subtract 637 from 647 to get reminder 10. Add 7 to quotient.

$$\begin{array}{l}\phantom{91)}007\phantom{6}\\91\overline{)6470}\\\phantom{91)}\underline{\phantom{}637\phantom{9}}\\\phantom{91)9}10\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6470

$$\begin{array}{l}\phantom{91)}007\phantom{7}\\91\overline{)6470}\\\phantom{91)}\underline{\phantom{}637\phantom{9}}\\\phantom{91)9}100\\\end{array}$$

Find closest multiple of 91 to 100. We see that 1 \times 91 = 91 is the nearest. Now subtract 91 from 100 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{91)}0071\phantom{8}\\91\overline{)6470}\\\phantom{91)}\underline{\phantom{}637\phantom{9}}\\\phantom{91)9}100\\\phantom{91)}\underline{\phantom{99}91\phantom{}}\\\phantom{91)999}9\\\end{array}$$

Since 9 is less than 91, stop the division. The reminder is 9. The topmost line 0071 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 71.

$$\text{Quotient: }71 \text{Reminder: }9$$

Factor

$$\frac{2 \cdot 5 \cdot 647}{7 \cdot 13} = 71\frac{9}{91} = 71.0989010989011$$