Solve 4900/75

$$\frac { 4900 } { 75 }$$

Evaluate

$$\frac{196}{3}\approx 65.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4900

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)4900}\\\end{array}$$

Since 4 is less than 75, use the next digit 9 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)4900}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 4900

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)4900}\\\end{array}$$

Since 49 is less than 75, use the next digit 0 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)4900}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4900

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)4900}\\\end{array}$$

Find closest multiple of 75 to 490. We see that 6 \times 75 = 450 is the nearest. Now subtract 450 from 490 to get reminder 40. Add 6 to quotient.

$$\begin{array}{l}\phantom{75)}006\phantom{6}\\75\overline{)4900}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}40\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4900

$$\begin{array}{l}\phantom{75)}006\phantom{7}\\75\overline{)4900}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}400\\\end{array}$$

Find closest multiple of 75 to 400. We see that 5 \times 75 = 375 is the nearest. Now subtract 375 from 400 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{75)}0065\phantom{8}\\75\overline{)4900}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}400\\\phantom{75)}\underline{\phantom{9}375\phantom{}}\\\phantom{75)99}25\\\end{array}$$

Since 25 is less than 75, stop the division. The reminder is 25. The topmost line 0065 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 65.

$$\text{Quotient: }65 \text{Reminder: }25$$

Factor

$$\frac{2 ^ {2} \cdot 7 ^ {2}}{3} = 65\frac{1}{3} = 65.33333333333333$$