Solve 582000div780

$$582000 \div 780$$

Evaluate

$$\frac{9700}{13}\approx 746.153846154$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 582000

$$\begin{array}{l}\phantom{780)}\phantom{1}\\780\overline{)582000}\\\end{array}$$

Since 5 is less than 780, use the next digit 8 from dividend 582000 and add 0 to the quotient

$$\begin{array}{l}\phantom{780)}0\phantom{2}\\780\overline{)582000}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 582000

$$\begin{array}{l}\phantom{780)}0\phantom{3}\\780\overline{)582000}\\\end{array}$$

Since 58 is less than 780, use the next digit 2 from dividend 582000 and add 0 to the quotient

$$\begin{array}{l}\phantom{780)}00\phantom{4}\\780\overline{)582000}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 582000

$$\begin{array}{l}\phantom{780)}00\phantom{5}\\780\overline{)582000}\\\end{array}$$

Since 582 is less than 780, use the next digit 0 from dividend 582000 and add 0 to the quotient

$$\begin{array}{l}\phantom{780)}000\phantom{6}\\780\overline{)582000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 582000

$$\begin{array}{l}\phantom{780)}000\phantom{7}\\780\overline{)582000}\\\end{array}$$

Find closest multiple of 780 to 5820. We see that 7 \times 780 = 5460 is the nearest. Now subtract 5460 from 5820 to get reminder 360. Add 7 to quotient.

$$\begin{array}{l}\phantom{780)}0007\phantom{8}\\780\overline{)582000}\\\phantom{780)}\underline{\phantom{}5460\phantom{99}}\\\phantom{780)9}360\\\end{array}$$

Use the 5^{th} digit 0 from dividend 582000

$$\begin{array}{l}\phantom{780)}0007\phantom{9}\\780\overline{)582000}\\\phantom{780)}\underline{\phantom{}5460\phantom{99}}\\\phantom{780)9}3600\\\end{array}$$

Find closest multiple of 780 to 3600. We see that 4 \times 780 = 3120 is the nearest. Now subtract 3120 from 3600 to get reminder 480. Add 4 to quotient.

$$\begin{array}{l}\phantom{780)}00074\phantom{10}\\780\overline{)582000}\\\phantom{780)}\underline{\phantom{}5460\phantom{99}}\\\phantom{780)9}3600\\\phantom{780)}\underline{\phantom{9}3120\phantom{9}}\\\phantom{780)99}480\\\end{array}$$

Use the 6^{th} digit 0 from dividend 582000

$$\begin{array}{l}\phantom{780)}00074\phantom{11}\\780\overline{)582000}\\\phantom{780)}\underline{\phantom{}5460\phantom{99}}\\\phantom{780)9}3600\\\phantom{780)}\underline{\phantom{9}3120\phantom{9}}\\\phantom{780)99}4800\\\end{array}$$

Find closest multiple of 780 to 4800. We see that 6 \times 780 = 4680 is the nearest. Now subtract 4680 from 4800 to get reminder 120. Add 6 to quotient.

$$\begin{array}{l}\phantom{780)}000746\phantom{12}\\780\overline{)582000}\\\phantom{780)}\underline{\phantom{}5460\phantom{99}}\\\phantom{780)9}3600\\\phantom{780)}\underline{\phantom{9}3120\phantom{9}}\\\phantom{780)99}4800\\\phantom{780)}\underline{\phantom{99}4680\phantom{}}\\\phantom{780)999}120\\\end{array}$$

Since 120 is less than 780, stop the division. The reminder is 120. The topmost line 000746 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 746.

$$\text{Quotient: }746 \text{Reminder: }120$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 97}{13} = 746\frac{2}{13} = 746.1538461538462$$