Solve 7842div19

$$7842 \div 19$$

Evaluate

$$\frac{7842}{19}\approx 412.736842105$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7842

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)7842}\\\end{array}$$

Since 7 is less than 19, use the next digit 8 from dividend 7842 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)7842}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7842

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)7842}\\\end{array}$$

Find closest multiple of 19 to 78. We see that 4 \times 19 = 76 is the nearest. Now subtract 76 from 78 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{19)}04\phantom{4}\\19\overline{)7842}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}2\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 7842

$$\begin{array}{l}\phantom{19)}04\phantom{5}\\19\overline{)7842}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}24\\\end{array}$$

Find closest multiple of 19 to 24. We see that 1 \times 19 = 19 is the nearest. Now subtract 19 from 24 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{19)}041\phantom{6}\\19\overline{)7842}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}24\\\phantom{19)}\underline{\phantom{9}19\phantom{9}}\\\phantom{19)99}5\\\end{array}$$

Use the 4^{th} digit 2 from dividend 7842

$$\begin{array}{l}\phantom{19)}041\phantom{7}\\19\overline{)7842}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}24\\\phantom{19)}\underline{\phantom{9}19\phantom{9}}\\\phantom{19)99}52\\\end{array}$$

Find closest multiple of 19 to 52. We see that 2 \times 19 = 38 is the nearest. Now subtract 38 from 52 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{19)}0412\phantom{8}\\19\overline{)7842}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}24\\\phantom{19)}\underline{\phantom{9}19\phantom{9}}\\\phantom{19)99}52\\\phantom{19)}\underline{\phantom{99}38\phantom{}}\\\phantom{19)99}14\\\end{array}$$

Since 14 is less than 19, stop the division. The reminder is 14. The topmost line 0412 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 412.

$$\text{Quotient: }412 \text{Reminder: }14$$

Factor

$$\frac{2 \cdot 3 \cdot 1307}{19} = 412\frac{14}{19} = 412.7368421052632$$