Solve 4176/25

$$\frac { 4176 } { 25 }$$

Evaluate

$$\frac{4176}{25}=167.04$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4176

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)4176}\\\end{array}$$

Since 4 is less than 25, use the next digit 1 from dividend 4176 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)4176}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4176

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)4176}\\\end{array}$$

Find closest multiple of 25 to 41. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 41 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)4176}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}16\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 4176

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)4176}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}167\\\end{array}$$

Find closest multiple of 25 to 167. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 167 to get reminder 17. Add 6 to quotient.

$$\begin{array}{l}\phantom{25)}016\phantom{6}\\25\overline{)4176}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}167\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}17\\\end{array}$$

Use the 4^{th} digit 6 from dividend 4176

$$\begin{array}{l}\phantom{25)}016\phantom{7}\\25\overline{)4176}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}167\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}176\\\end{array}$$

Find closest multiple of 25 to 176. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 176 to get reminder 1. Add 7 to quotient.

$$\begin{array}{l}\phantom{25)}0167\phantom{8}\\25\overline{)4176}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}167\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}176\\\phantom{25)}\underline{\phantom{9}175\phantom{}}\\\phantom{25)999}1\\\end{array}$$

Since 1 is less than 25, stop the division. The reminder is 1. The topmost line 0167 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 167.

$$\text{Quotient: }167 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 29}{5 ^ {2}} = 167\frac{1}{25} = 167.04$$