Solve 78000div117

$$78000 \div 117$$

Evaluate

$$\frac{2000}{3}\approx 666.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 78000

$$\begin{array}{l}\phantom{117)}\phantom{1}\\117\overline{)78000}\\\end{array}$$

Since 7 is less than 117, use the next digit 8 from dividend 78000 and add 0 to the quotient

$$\begin{array}{l}\phantom{117)}0\phantom{2}\\117\overline{)78000}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 78000

$$\begin{array}{l}\phantom{117)}0\phantom{3}\\117\overline{)78000}\\\end{array}$$

Since 78 is less than 117, use the next digit 0 from dividend 78000 and add 0 to the quotient

$$\begin{array}{l}\phantom{117)}00\phantom{4}\\117\overline{)78000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 78000

$$\begin{array}{l}\phantom{117)}00\phantom{5}\\117\overline{)78000}\\\end{array}$$

Find closest multiple of 117 to 780. We see that 6 \times 117 = 702 is the nearest. Now subtract 702 from 780 to get reminder 78. Add 6 to quotient.

$$\begin{array}{l}\phantom{117)}006\phantom{6}\\117\overline{)78000}\\\phantom{117)}\underline{\phantom{}702\phantom{99}}\\\phantom{117)9}78\\\end{array}$$

Use the 4^{th} digit 0 from dividend 78000

$$\begin{array}{l}\phantom{117)}006\phantom{7}\\117\overline{)78000}\\\phantom{117)}\underline{\phantom{}702\phantom{99}}\\\phantom{117)9}780\\\end{array}$$

Find closest multiple of 117 to 780. We see that 6 \times 117 = 702 is the nearest. Now subtract 702 from 780 to get reminder 78. Add 6 to quotient.

$$\begin{array}{l}\phantom{117)}0066\phantom{8}\\117\overline{)78000}\\\phantom{117)}\underline{\phantom{}702\phantom{99}}\\\phantom{117)9}780\\\phantom{117)}\underline{\phantom{9}702\phantom{9}}\\\phantom{117)99}78\\\end{array}$$

Use the 5^{th} digit 0 from dividend 78000

$$\begin{array}{l}\phantom{117)}0066\phantom{9}\\117\overline{)78000}\\\phantom{117)}\underline{\phantom{}702\phantom{99}}\\\phantom{117)9}780\\\phantom{117)}\underline{\phantom{9}702\phantom{9}}\\\phantom{117)99}780\\\end{array}$$

Find closest multiple of 117 to 780. We see that 6 \times 117 = 702 is the nearest. Now subtract 702 from 780 to get reminder 78. Add 6 to quotient.

$$\begin{array}{l}\phantom{117)}00666\phantom{10}\\117\overline{)78000}\\\phantom{117)}\underline{\phantom{}702\phantom{99}}\\\phantom{117)9}780\\\phantom{117)}\underline{\phantom{9}702\phantom{9}}\\\phantom{117)99}780\\\phantom{117)}\underline{\phantom{99}702\phantom{}}\\\phantom{117)999}78\\\end{array}$$

Since 78 is less than 117, stop the division. The reminder is 78. The topmost line 00666 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 666.

$$\text{Quotient: }666 \text{Reminder: }78$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{3} = 666\frac{2}{3} = 666.6666666666666$$