Solve 267500/1625

$$\frac { 267500 } { 1625 }$$

Evaluate

$$\frac{2140}{13}\approx 164.615384615$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 267500

$$\begin{array}{l}\phantom{1625)}\phantom{1}\\1625\overline{)267500}\\\end{array}$$

Since 2 is less than 1625, use the next digit 6 from dividend 267500 and add 0 to the quotient

$$\begin{array}{l}\phantom{1625)}0\phantom{2}\\1625\overline{)267500}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 267500

$$\begin{array}{l}\phantom{1625)}0\phantom{3}\\1625\overline{)267500}\\\end{array}$$

Since 26 is less than 1625, use the next digit 7 from dividend 267500 and add 0 to the quotient

$$\begin{array}{l}\phantom{1625)}00\phantom{4}\\1625\overline{)267500}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 267500

$$\begin{array}{l}\phantom{1625)}00\phantom{5}\\1625\overline{)267500}\\\end{array}$$

Since 267 is less than 1625, use the next digit 5 from dividend 267500 and add 0 to the quotient

$$\begin{array}{l}\phantom{1625)}000\phantom{6}\\1625\overline{)267500}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 267500

$$\begin{array}{l}\phantom{1625)}000\phantom{7}\\1625\overline{)267500}\\\end{array}$$

Find closest multiple of 1625 to 2675. We see that 1 \times 1625 = 1625 is the nearest. Now subtract 1625 from 2675 to get reminder 1050. Add 1 to quotient.

$$\begin{array}{l}\phantom{1625)}0001\phantom{8}\\1625\overline{)267500}\\\phantom{1625)}\underline{\phantom{}1625\phantom{99}}\\\phantom{1625)}1050\\\end{array}$$

Use the 5^{th} digit 0 from dividend 267500

$$\begin{array}{l}\phantom{1625)}0001\phantom{9}\\1625\overline{)267500}\\\phantom{1625)}\underline{\phantom{}1625\phantom{99}}\\\phantom{1625)}10500\\\end{array}$$

Find closest multiple of 1625 to 10500. We see that 6 \times 1625 = 9750 is the nearest. Now subtract 9750 from 10500 to get reminder 750. Add 6 to quotient.

$$\begin{array}{l}\phantom{1625)}00016\phantom{10}\\1625\overline{)267500}\\\phantom{1625)}\underline{\phantom{}1625\phantom{99}}\\\phantom{1625)}10500\\\phantom{1625)}\underline{\phantom{9}9750\phantom{9}}\\\phantom{1625)99}750\\\end{array}$$

Use the 6^{th} digit 0 from dividend 267500

$$\begin{array}{l}\phantom{1625)}00016\phantom{11}\\1625\overline{)267500}\\\phantom{1625)}\underline{\phantom{}1625\phantom{99}}\\\phantom{1625)}10500\\\phantom{1625)}\underline{\phantom{9}9750\phantom{9}}\\\phantom{1625)99}7500\\\end{array}$$

Find closest multiple of 1625 to 7500. We see that 4 \times 1625 = 6500 is the nearest. Now subtract 6500 from 7500 to get reminder 1000. Add 4 to quotient.

$$\begin{array}{l}\phantom{1625)}000164\phantom{12}\\1625\overline{)267500}\\\phantom{1625)}\underline{\phantom{}1625\phantom{99}}\\\phantom{1625)}10500\\\phantom{1625)}\underline{\phantom{9}9750\phantom{9}}\\\phantom{1625)99}7500\\\phantom{1625)}\underline{\phantom{99}6500\phantom{}}\\\phantom{1625)99}1000\\\end{array}$$

Since 1000 is less than 1625, stop the division. The reminder is 1000. The topmost line 000164 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 164.

$$\text{Quotient: }164 \text{Reminder: }1000$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 107}{13} = 164\frac{8}{13} = 164.6153846153846$$