Solve 61934/25

$$\frac{ 61934 }{ 25 }$$

Evaluate

$$\frac{61934}{25}=2477.36$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 61934

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)61934}\\\end{array}$$

Since 6 is less than 25, use the next digit 1 from dividend 61934 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)61934}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 61934

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)61934}\\\end{array}$$

Find closest multiple of 25 to 61. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 61 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)61934}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)}11\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 61934

$$\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)61934}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)}119\\\end{array}$$

Find closest multiple of 25 to 119. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 119 to get reminder 19. Add 4 to quotient.

$$\begin{array}{l}\phantom{25)}024\phantom{6}\\25\overline{)61934}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)}119\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}19\\\end{array}$$

Use the 4^{th} digit 3 from dividend 61934

$$\begin{array}{l}\phantom{25)}024\phantom{7}\\25\overline{)61934}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)}119\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}193\\\end{array}$$

Find closest multiple of 25 to 193. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 193 to get reminder 18. Add 7 to quotient.

$$\begin{array}{l}\phantom{25)}0247\phantom{8}\\25\overline{)61934}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)}119\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}193\\\phantom{25)}\underline{\phantom{9}175\phantom{9}}\\\phantom{25)99}18\\\end{array}$$

Use the 5^{th} digit 4 from dividend 61934

$$\begin{array}{l}\phantom{25)}0247\phantom{9}\\25\overline{)61934}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)}119\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}193\\\phantom{25)}\underline{\phantom{9}175\phantom{9}}\\\phantom{25)99}184\\\end{array}$$

Find closest multiple of 25 to 184. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 184 to get reminder 9. Add 7 to quotient.

$$\begin{array}{l}\phantom{25)}02477\phantom{10}\\25\overline{)61934}\\\phantom{25)}\underline{\phantom{}50\phantom{999}}\\\phantom{25)}119\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}193\\\phantom{25)}\underline{\phantom{9}175\phantom{9}}\\\phantom{25)99}184\\\phantom{25)}\underline{\phantom{99}175\phantom{}}\\\phantom{25)9999}9\\\end{array}$$

Since 9 is less than 25, stop the division. The reminder is 9. The topmost line 02477 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2477.

$$\text{Quotient: }2477 \text{Reminder: }9$$

Factor

$$\frac{2 \cdot 173 \cdot 179}{5 ^ {2}} = 2477\frac{9}{25} = 2477.36$$