Solve 1920000/625

$$\frac { 1920000 } { 625 }$$

Evaluate

$$3072$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1920000

$$\begin{array}{l}\phantom{625)}\phantom{1}\\625\overline{)1920000}\\\end{array}$$

Since 1 is less than 625, use the next digit 9 from dividend 1920000 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}0\phantom{2}\\625\overline{)1920000}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1920000

$$\begin{array}{l}\phantom{625)}0\phantom{3}\\625\overline{)1920000}\\\end{array}$$

Since 19 is less than 625, use the next digit 2 from dividend 1920000 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}00\phantom{4}\\625\overline{)1920000}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1920000

$$\begin{array}{l}\phantom{625)}00\phantom{5}\\625\overline{)1920000}\\\end{array}$$

Since 192 is less than 625, use the next digit 0 from dividend 1920000 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}000\phantom{6}\\625\overline{)1920000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1920000

$$\begin{array}{l}\phantom{625)}000\phantom{7}\\625\overline{)1920000}\\\end{array}$$

Find closest multiple of 625 to 1920. We see that 3 \times 625 = 1875 is the nearest. Now subtract 1875 from 1920 to get reminder 45. Add 3 to quotient.

$$\begin{array}{l}\phantom{625)}0003\phantom{8}\\625\overline{)1920000}\\\phantom{625)}\underline{\phantom{}1875\phantom{999}}\\\phantom{625)99}45\\\end{array}$$

Use the 5^{th} digit 0 from dividend 1920000

$$\begin{array}{l}\phantom{625)}0003\phantom{9}\\625\overline{)1920000}\\\phantom{625)}\underline{\phantom{}1875\phantom{999}}\\\phantom{625)99}450\\\end{array}$$

Since 450 is less than 625, use the next digit 0 from dividend 1920000 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}00030\phantom{10}\\625\overline{)1920000}\\\phantom{625)}\underline{\phantom{}1875\phantom{999}}\\\phantom{625)99}450\\\end{array}$$

Use the 6^{th} digit 0 from dividend 1920000

$$\begin{array}{l}\phantom{625)}00030\phantom{11}\\625\overline{)1920000}\\\phantom{625)}\underline{\phantom{}1875\phantom{999}}\\\phantom{625)99}4500\\\end{array}$$

Find closest multiple of 625 to 4500. We see that 7 \times 625 = 4375 is the nearest. Now subtract 4375 from 4500 to get reminder 125. Add 7 to quotient.

$$\begin{array}{l}\phantom{625)}000307\phantom{12}\\625\overline{)1920000}\\\phantom{625)}\underline{\phantom{}1875\phantom{999}}\\\phantom{625)99}4500\\\phantom{625)}\underline{\phantom{99}4375\phantom{9}}\\\phantom{625)999}125\\\end{array}$$

Use the 7^{th} digit 0 from dividend 1920000

$$\begin{array}{l}\phantom{625)}000307\phantom{13}\\625\overline{)1920000}\\\phantom{625)}\underline{\phantom{}1875\phantom{999}}\\\phantom{625)99}4500\\\phantom{625)}\underline{\phantom{99}4375\phantom{9}}\\\phantom{625)999}1250\\\end{array}$$

Find closest multiple of 625 to 1250. We see that 2 \times 625 = 1250 is the nearest. Now subtract 1250 from 1250 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{625)}0003072\phantom{14}\\625\overline{)1920000}\\\phantom{625)}\underline{\phantom{}1875\phantom{999}}\\\phantom{625)99}4500\\\phantom{625)}\underline{\phantom{99}4375\phantom{9}}\\\phantom{625)999}1250\\\phantom{625)}\underline{\phantom{999}1250\phantom{}}\\\phantom{625)9999999}0\\\end{array}$$

Since 0 is less than 625, stop the division. The reminder is 0. The topmost line 0003072 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3072.

$$\text{Quotient: }3072 \text{Reminder: }0$$

Factor

$$2^{10}\times 3$$