Solve 10206000/625

$$\frac { 10206000 } { 625 }$$

Evaluate

$$\frac{81648}{5}=16329.6$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10206000

$$\begin{array}{l}\phantom{625)}\phantom{1}\\625\overline{)10206000}\\\end{array}$$

Since 1 is less than 625, use the next digit 0 from dividend 10206000 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}0\phantom{2}\\625\overline{)10206000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10206000

$$\begin{array}{l}\phantom{625)}0\phantom{3}\\625\overline{)10206000}\\\end{array}$$

Since 10 is less than 625, use the next digit 2 from dividend 10206000 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}00\phantom{4}\\625\overline{)10206000}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 10206000

$$\begin{array}{l}\phantom{625)}00\phantom{5}\\625\overline{)10206000}\\\end{array}$$

Since 102 is less than 625, use the next digit 0 from dividend 10206000 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}000\phantom{6}\\625\overline{)10206000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10206000

$$\begin{array}{l}\phantom{625)}000\phantom{7}\\625\overline{)10206000}\\\end{array}$$

Find closest multiple of 625 to 1020. We see that 1 \times 625 = 625 is the nearest. Now subtract 625 from 1020 to get reminder 395. Add 1 to quotient.

$$\begin{array}{l}\phantom{625)}0001\phantom{8}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}395\\\end{array}$$

Use the 5^{th} digit 6 from dividend 10206000

$$\begin{array}{l}\phantom{625)}0001\phantom{9}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}3956\\\end{array}$$

Find closest multiple of 625 to 3956. We see that 6 \times 625 = 3750 is the nearest. Now subtract 3750 from 3956 to get reminder 206. Add 6 to quotient.

$$\begin{array}{l}\phantom{625)}00016\phantom{10}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}3956\\\phantom{625)}\underline{\phantom{9}3750\phantom{999}}\\\phantom{625)99}206\\\end{array}$$

Use the 6^{th} digit 0 from dividend 10206000

$$\begin{array}{l}\phantom{625)}00016\phantom{11}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}3956\\\phantom{625)}\underline{\phantom{9}3750\phantom{999}}\\\phantom{625)99}2060\\\end{array}$$

Find closest multiple of 625 to 2060. We see that 3 \times 625 = 1875 is the nearest. Now subtract 1875 from 2060 to get reminder 185. Add 3 to quotient.

$$\begin{array}{l}\phantom{625)}000163\phantom{12}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}3956\\\phantom{625)}\underline{\phantom{9}3750\phantom{999}}\\\phantom{625)99}2060\\\phantom{625)}\underline{\phantom{99}1875\phantom{99}}\\\phantom{625)999}185\\\end{array}$$

Use the 7^{th} digit 0 from dividend 10206000

$$\begin{array}{l}\phantom{625)}000163\phantom{13}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}3956\\\phantom{625)}\underline{\phantom{9}3750\phantom{999}}\\\phantom{625)99}2060\\\phantom{625)}\underline{\phantom{99}1875\phantom{99}}\\\phantom{625)999}1850\\\end{array}$$

Find closest multiple of 625 to 1850. We see that 2 \times 625 = 1250 is the nearest. Now subtract 1250 from 1850 to get reminder 600. Add 2 to quotient.

$$\begin{array}{l}\phantom{625)}0001632\phantom{14}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}3956\\\phantom{625)}\underline{\phantom{9}3750\phantom{999}}\\\phantom{625)99}2060\\\phantom{625)}\underline{\phantom{99}1875\phantom{99}}\\\phantom{625)999}1850\\\phantom{625)}\underline{\phantom{999}1250\phantom{9}}\\\phantom{625)9999}600\\\end{array}$$

Use the 8^{th} digit 0 from dividend 10206000

$$\begin{array}{l}\phantom{625)}0001632\phantom{15}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}3956\\\phantom{625)}\underline{\phantom{9}3750\phantom{999}}\\\phantom{625)99}2060\\\phantom{625)}\underline{\phantom{99}1875\phantom{99}}\\\phantom{625)999}1850\\\phantom{625)}\underline{\phantom{999}1250\phantom{9}}\\\phantom{625)9999}6000\\\end{array}$$

Find closest multiple of 625 to 6000. We see that 9 \times 625 = 5625 is the nearest. Now subtract 5625 from 6000 to get reminder 375. Add 9 to quotient.

$$\begin{array}{l}\phantom{625)}00016329\phantom{16}\\625\overline{)10206000}\\\phantom{625)}\underline{\phantom{9}625\phantom{9999}}\\\phantom{625)9}3956\\\phantom{625)}\underline{\phantom{9}3750\phantom{999}}\\\phantom{625)99}2060\\\phantom{625)}\underline{\phantom{99}1875\phantom{99}}\\\phantom{625)999}1850\\\phantom{625)}\underline{\phantom{999}1250\phantom{9}}\\\phantom{625)9999}6000\\\phantom{625)}\underline{\phantom{9999}5625\phantom{}}\\\phantom{625)99999}375\\\end{array}$$

Since 375 is less than 625, stop the division. The reminder is 375. The topmost line 00016329 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16329.

$$\text{Quotient: }16329 \text{Reminder: }375$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {6} \cdot 7}{5} = 16329\frac{3}{5} = 16329.6$$