Solve 1000/19

$$\frac { 1000 } { 19 }$$

Evaluate

$$\frac{1000}{19}\approx 52.631578947$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)1000}\\\end{array}$$

Since 1 is less than 19, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)1000}\\\end{array}$$

Since 10 is less than 19, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}00\phantom{4}\\19\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{19)}00\phantom{5}\\19\overline{)1000}\\\end{array}$$

Find closest multiple of 19 to 100. We see that 5 \times 19 = 95 is the nearest. Now subtract 95 from 100 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{19)}005\phantom{6}\\19\overline{)1000}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)99}5\\\end{array}$$

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

$$\begin{array}{l}\phantom{19)}005\phantom{7}\\19\overline{)1000}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)99}50\\\end{array}$$

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.

$$\begin{array}{l}\phantom{19)}0052\phantom{8}\\19\overline{)1000}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)99}50\\\phantom{19)}\underline{\phantom{99}38\phantom{}}\\\phantom{19)99}12\\\end{array}$$

Since 12 is less than 19, stop the division. The reminder is 12. The topmost line 0052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.

$$\text{Quotient: }52 \text{Reminder: }12$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{19} = 52\frac{12}{19} = 52.63157894736842$$