Solve 1026div19

$$1026 \div 19$$

Evaluate

$$54$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1026

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)1026}\\\end{array}$$

Since 1 is less than 19, use the next digit 0 from dividend 1026 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)1026}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1026

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)1026}\\\end{array}$$

Since 10 is less than 19, use the next digit 2 from dividend 1026 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}00\phantom{4}\\19\overline{)1026}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1026

$$\begin{array}{l}\phantom{19)}00\phantom{5}\\19\overline{)1026}\\\end{array}$$

Find closest multiple of 19 to 102. We see that 5 \times 19 = 95 is the nearest. Now subtract 95 from 102 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{19)}005\phantom{6}\\19\overline{)1026}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)99}7\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1026

$$\begin{array}{l}\phantom{19)}005\phantom{7}\\19\overline{)1026}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)99}76\\\end{array}$$

Find closest multiple of 19 to 76. We see that 4 \times 19 = 76 is the nearest. Now subtract 76 from 76 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{19)}0054\phantom{8}\\19\overline{)1026}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)99}76\\\phantom{19)}\underline{\phantom{99}76\phantom{}}\\\phantom{19)9999}0\\\end{array}$$

Since 0 is less than 19, stop the division. The reminder is 0. The topmost line 0054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.

$$\text{Quotient: }54 \text{Reminder: }0$$

Factor

$$2\times 3^{3}$$