Solve 50084:19

$$50084 : 19$$

Evaluate

$$2636$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 50084

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)50084}\\\end{array}$$

Since 5 is less than 19, use the next digit 0 from dividend 50084 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)50084}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 50084

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)50084}\\\end{array}$$

Find closest multiple of 19 to 50. We see that 2 \times 19 = 38 is the nearest. Now subtract 38 from 50 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{19)}02\phantom{4}\\19\overline{)50084}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)}12\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 50084

$$\begin{array}{l}\phantom{19)}02\phantom{5}\\19\overline{)50084}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)}120\\\end{array}$$

Find closest multiple of 19 to 120. We see that 6 \times 19 = 114 is the nearest. Now subtract 114 from 120 to get reminder 6. Add 6 to quotient.

$$\begin{array}{l}\phantom{19)}026\phantom{6}\\19\overline{)50084}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)}120\\\phantom{19)}\underline{\phantom{}114\phantom{99}}\\\phantom{19)99}6\\\end{array}$$

Use the 4^{th} digit 8 from dividend 50084

$$\begin{array}{l}\phantom{19)}026\phantom{7}\\19\overline{)50084}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)}120\\\phantom{19)}\underline{\phantom{}114\phantom{99}}\\\phantom{19)99}68\\\end{array}$$

Find closest multiple of 19 to 68. We see that 3 \times 19 = 57 is the nearest. Now subtract 57 from 68 to get reminder 11. Add 3 to quotient.

$$\begin{array}{l}\phantom{19)}0263\phantom{8}\\19\overline{)50084}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)}120\\\phantom{19)}\underline{\phantom{}114\phantom{99}}\\\phantom{19)99}68\\\phantom{19)}\underline{\phantom{99}57\phantom{9}}\\\phantom{19)99}11\\\end{array}$$

Use the 5^{th} digit 4 from dividend 50084

$$\begin{array}{l}\phantom{19)}0263\phantom{9}\\19\overline{)50084}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)}120\\\phantom{19)}\underline{\phantom{}114\phantom{99}}\\\phantom{19)99}68\\\phantom{19)}\underline{\phantom{99}57\phantom{9}}\\\phantom{19)99}114\\\end{array}$$

Find closest multiple of 19 to 114. We see that 6 \times 19 = 114 is the nearest. Now subtract 114 from 114 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{19)}02636\phantom{10}\\19\overline{)50084}\\\phantom{19)}\underline{\phantom{}38\phantom{999}}\\\phantom{19)}120\\\phantom{19)}\underline{\phantom{}114\phantom{99}}\\\phantom{19)99}68\\\phantom{19)}\underline{\phantom{99}57\phantom{9}}\\\phantom{19)99}114\\\phantom{19)}\underline{\phantom{99}114\phantom{}}\\\phantom{19)99999}0\\\end{array}$$

Since 0 is less than 19, stop the division. The reminder is 0. The topmost line 02636 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2636.

$$\text{Quotient: }2636 \text{Reminder: }0$$

Factor

$$2^{2}\times 659$$