Solve 78289/89

$$\frac{ 78289 }{ 89 }$$

Evaluate

$$\frac{78289}{89}\approx 879.651685393$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 78289

$$\begin{array}{l}\phantom{89)}\phantom{1}\\89\overline{)78289}\\\end{array}$$

Since 7 is less than 89, use the next digit 8 from dividend 78289 and add 0 to the quotient

$$\begin{array}{l}\phantom{89)}0\phantom{2}\\89\overline{)78289}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 78289

$$\begin{array}{l}\phantom{89)}0\phantom{3}\\89\overline{)78289}\\\end{array}$$

Since 78 is less than 89, use the next digit 2 from dividend 78289 and add 0 to the quotient

$$\begin{array}{l}\phantom{89)}00\phantom{4}\\89\overline{)78289}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 78289

$$\begin{array}{l}\phantom{89)}00\phantom{5}\\89\overline{)78289}\\\end{array}$$

Find closest multiple of 89 to 782. We see that 8 \times 89 = 712 is the nearest. Now subtract 712 from 782 to get reminder 70. Add 8 to quotient.

$$\begin{array}{l}\phantom{89)}008\phantom{6}\\89\overline{)78289}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)9}70\\\end{array}$$

Use the 4^{th} digit 8 from dividend 78289

$$\begin{array}{l}\phantom{89)}008\phantom{7}\\89\overline{)78289}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)9}708\\\end{array}$$

Find closest multiple of 89 to 708. We see that 7 \times 89 = 623 is the nearest. Now subtract 623 from 708 to get reminder 85. Add 7 to quotient.

$$\begin{array}{l}\phantom{89)}0087\phantom{8}\\89\overline{)78289}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)9}708\\\phantom{89)}\underline{\phantom{9}623\phantom{9}}\\\phantom{89)99}85\\\end{array}$$

Use the 5^{th} digit 9 from dividend 78289

$$\begin{array}{l}\phantom{89)}0087\phantom{9}\\89\overline{)78289}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)9}708\\\phantom{89)}\underline{\phantom{9}623\phantom{9}}\\\phantom{89)99}859\\\end{array}$$

Find closest multiple of 89 to 859. We see that 9 \times 89 = 801 is the nearest. Now subtract 801 from 859 to get reminder 58. Add 9 to quotient.

$$\begin{array}{l}\phantom{89)}00879\phantom{10}\\89\overline{)78289}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)9}708\\\phantom{89)}\underline{\phantom{9}623\phantom{9}}\\\phantom{89)99}859\\\phantom{89)}\underline{\phantom{99}801\phantom{}}\\\phantom{89)999}58\\\end{array}$$

Since 58 is less than 89, stop the division. The reminder is 58. The topmost line 00879 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 879.

$$\text{Quotient: }879 \text{Reminder: }58$$

Factor

$$\frac{79 \cdot 991}{89} = 879\frac{58}{89} = 879.6516853932584$$