Solve 1000div523

$$1000 \div 523$$

Evaluate

$$\frac{1000}{523}\approx 1.912045889$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000

$$\begin{array}{l}\phantom{523)}\phantom{1}\\523\overline{)1000}\\\end{array}$$

Since 1 is less than 523, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{523)}0\phantom{2}\\523\overline{)1000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{523)}0\phantom{3}\\523\overline{)1000}\\\end{array}$$

Since 10 is less than 523, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{523)}00\phantom{4}\\523\overline{)1000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{523)}00\phantom{5}\\523\overline{)1000}\\\end{array}$$

Since 100 is less than 523, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{523)}000\phantom{6}\\523\overline{)1000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{523)}000\phantom{7}\\523\overline{)1000}\\\end{array}$$

Find closest multiple of 523 to 1000. We see that 1 \times 523 = 523 is the nearest. Now subtract 523 from 1000 to get reminder 477. Add 1 to quotient.

$$\begin{array}{l}\phantom{523)}0001\phantom{8}\\523\overline{)1000}\\\phantom{523)}\underline{\phantom{9}523\phantom{}}\\\phantom{523)9}477\\\end{array}$$

Since 477 is less than 523, stop the division. The reminder is 477. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }477$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{523} = 1\frac{477}{523} = 1.9120458891013383$$