Solve 1960div75

$$1960 \div 75$$

Evaluate

$$\frac{392}{15}\approx 26.133333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1960

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)1960}\\\end{array}$$

Since 1 is less than 75, use the next digit 9 from dividend 1960 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)1960}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1960

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)1960}\\\end{array}$$

Since 19 is less than 75, use the next digit 6 from dividend 1960 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)1960}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1960

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)1960}\\\end{array}$$

Find closest multiple of 75 to 196. We see that 2 \times 75 = 150 is the nearest. Now subtract 150 from 196 to get reminder 46. Add 2 to quotient.

$$\begin{array}{l}\phantom{75)}002\phantom{6}\\75\overline{)1960}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}46\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1960

$$\begin{array}{l}\phantom{75)}002\phantom{7}\\75\overline{)1960}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}460\\\end{array}$$

Find closest multiple of 75 to 460. We see that 6 \times 75 = 450 is the nearest. Now subtract 450 from 460 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{75)}0026\phantom{8}\\75\overline{)1960}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}460\\\phantom{75)}\underline{\phantom{9}450\phantom{}}\\\phantom{75)99}10\\\end{array}$$

Since 10 is less than 75, stop the division. The reminder is 10. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.

$$\text{Quotient: }26 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {3} \cdot 7 ^ {2}}{3 \cdot 5} = 26\frac{2}{15} = 26.133333333333333$$