Solve 71489/89

$$\frac { 71489 } { 89 }$$

Evaluate

$$\frac{71489}{89}\approx 803.247191011$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 71489

$$\begin{array}{l}\phantom{89)}\phantom{1}\\89\overline{)71489}\\\end{array}$$

Since 7 is less than 89, use the next digit 1 from dividend 71489 and add 0 to the quotient

$$\begin{array}{l}\phantom{89)}0\phantom{2}\\89\overline{)71489}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 71489

$$\begin{array}{l}\phantom{89)}0\phantom{3}\\89\overline{)71489}\\\end{array}$$

Since 71 is less than 89, use the next digit 4 from dividend 71489 and add 0 to the quotient

$$\begin{array}{l}\phantom{89)}00\phantom{4}\\89\overline{)71489}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 71489

$$\begin{array}{l}\phantom{89)}00\phantom{5}\\89\overline{)71489}\\\end{array}$$

Find closest multiple of 89 to 714. We see that 8 \times 89 = 712 is the nearest. Now subtract 712 from 714 to get reminder 2. Add 8 to quotient.

$$\begin{array}{l}\phantom{89)}008\phantom{6}\\89\overline{)71489}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)99}2\\\end{array}$$

Use the 4^{th} digit 8 from dividend 71489

$$\begin{array}{l}\phantom{89)}008\phantom{7}\\89\overline{)71489}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)99}28\\\end{array}$$

Since 28 is less than 89, use the next digit 9 from dividend 71489 and add 0 to the quotient

$$\begin{array}{l}\phantom{89)}0080\phantom{8}\\89\overline{)71489}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)99}28\\\end{array}$$

Use the 5^{th} digit 9 from dividend 71489

$$\begin{array}{l}\phantom{89)}0080\phantom{9}\\89\overline{)71489}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)99}289\\\end{array}$$

Find closest multiple of 89 to 289. We see that 3 \times 89 = 267 is the nearest. Now subtract 267 from 289 to get reminder 22. Add 3 to quotient.

$$\begin{array}{l}\phantom{89)}00803\phantom{10}\\89\overline{)71489}\\\phantom{89)}\underline{\phantom{}712\phantom{99}}\\\phantom{89)99}289\\\phantom{89)}\underline{\phantom{99}267\phantom{}}\\\phantom{89)999}22\\\end{array}$$

Since 22 is less than 89, stop the division. The reminder is 22. The topmost line 00803 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 803.

$$\text{Quotient: }803 \text{Reminder: }22$$

Factor

$$\frac{11 \cdot 67 \cdot 97}{89} = 803\frac{22}{89} = 803.2471910112359$$