Solve 500,000div98

$$500,000 \div 98$$

Evaluate

$$\frac{250000}{49}\approx 5102.040816327$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 500000

$$\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)500000}\\\end{array}$$

Since 5 is less than 98, use the next digit 0 from dividend 500000 and add 0 to the quotient

$$\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)500000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)500000}\\\end{array}$$

Since 50 is less than 98, use the next digit 0 from dividend 500000 and add 0 to the quotient

$$\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)500000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)500000}\\\end{array}$$

Find closest multiple of 98 to 500. We see that 5 \times 98 = 490 is the nearest. Now subtract 490 from 500 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{98)}005\phantom{6}\\98\overline{)500000}\\\phantom{98)}\underline{\phantom{}490\phantom{999}}\\\phantom{98)9}10\\\end{array}$$

Use the 4^{th} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{98)}005\phantom{7}\\98\overline{)500000}\\\phantom{98)}\underline{\phantom{}490\phantom{999}}\\\phantom{98)9}100\\\end{array}$$

Find closest multiple of 98 to 100. We see that 1 \times 98 = 98 is the nearest. Now subtract 98 from 100 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{98)}0051\phantom{8}\\98\overline{)500000}\\\phantom{98)}\underline{\phantom{}490\phantom{999}}\\\phantom{98)9}100\\\phantom{98)}\underline{\phantom{99}98\phantom{99}}\\\phantom{98)999}2\\\end{array}$$

Use the 5^{th} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{98)}0051\phantom{9}\\98\overline{)500000}\\\phantom{98)}\underline{\phantom{}490\phantom{999}}\\\phantom{98)9}100\\\phantom{98)}\underline{\phantom{99}98\phantom{99}}\\\phantom{98)999}20\\\end{array}$$

Since 20 is less than 98, use the next digit 0 from dividend 500000 and add 0 to the quotient

$$\begin{array}{l}\phantom{98)}00510\phantom{10}\\98\overline{)500000}\\\phantom{98)}\underline{\phantom{}490\phantom{999}}\\\phantom{98)9}100\\\phantom{98)}\underline{\phantom{99}98\phantom{99}}\\\phantom{98)999}20\\\end{array}$$

Use the 6^{th} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{98)}00510\phantom{11}\\98\overline{)500000}\\\phantom{98)}\underline{\phantom{}490\phantom{999}}\\\phantom{98)9}100\\\phantom{98)}\underline{\phantom{99}98\phantom{99}}\\\phantom{98)999}200\\\end{array}$$

Find closest multiple of 98 to 200. We see that 2 \times 98 = 196 is the nearest. Now subtract 196 from 200 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{98)}005102\phantom{12}\\98\overline{)500000}\\\phantom{98)}\underline{\phantom{}490\phantom{999}}\\\phantom{98)9}100\\\phantom{98)}\underline{\phantom{99}98\phantom{99}}\\\phantom{98)999}200\\\phantom{98)}\underline{\phantom{999}196\phantom{}}\\\phantom{98)99999}4\\\end{array}$$

Since 4 is less than 98, stop the division. The reminder is 4. The topmost line 005102 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5102.

$$\text{Quotient: }5102 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {6}}{7 ^ {2}} = 5102\frac{2}{49} = 5102.040816326531$$