Solve 1000div65

$$1000 \div 65$$

Evaluate

$$\frac{200}{13}\approx 15.384615385$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)1000}\\\end{array}$$

Since 1 is less than 65, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)1000}\\\end{array}$$

Since 10 is less than 65, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)1000}\\\end{array}$$

Find closest multiple of 65 to 100. We see that 1 \times 65 = 65 is the nearest. Now subtract 65 from 100 to get reminder 35. Add 1 to quotient.

$$\begin{array}{l}\phantom{65)}001\phantom{6}\\65\overline{)1000}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}35\\\end{array}$$

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

$$\begin{array}{l}\phantom{65)}001\phantom{7}\\65\overline{)1000}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}350\\\end{array}$$

Find closest multiple of 65 to 350. We see that 5 \times 65 = 325 is the nearest. Now subtract 325 from 350 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{65)}0015\phantom{8}\\65\overline{)1000}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}350\\\phantom{65)}\underline{\phantom{9}325\phantom{}}\\\phantom{65)99}25\\\end{array}$$

Since 25 is less than 65, stop the division. The reminder is 25. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }25$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{13} = 15\frac{5}{13} = 15.384615384615385$$