Solve 1053div19

$$1053 \div 19$$

Evaluate

$$\frac{1053}{19}\approx 55.421052632$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1053

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)1053}\\\end{array}$$

Since 1 is less than 19, use the next digit 0 from dividend 1053 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)1053}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1053

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)1053}\\\end{array}$$

Since 10 is less than 19, use the next digit 5 from dividend 1053 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}00\phantom{4}\\19\overline{)1053}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1053

$$\begin{array}{l}\phantom{19)}00\phantom{5}\\19\overline{)1053}\\\end{array}$$

Find closest multiple of 19 to 105. We see that 5 \times 19 = 95 is the nearest. Now subtract 95 from 105 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{19)}005\phantom{6}\\19\overline{)1053}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)9}10\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1053

$$\begin{array}{l}\phantom{19)}005\phantom{7}\\19\overline{)1053}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)9}103\\\end{array}$$

Find closest multiple of 19 to 103. We see that 5 \times 19 = 95 is the nearest. Now subtract 95 from 103 to get reminder 8. Add 5 to quotient.

$$\begin{array}{l}\phantom{19)}0055\phantom{8}\\19\overline{)1053}\\\phantom{19)}\underline{\phantom{9}95\phantom{9}}\\\phantom{19)9}103\\\phantom{19)}\underline{\phantom{99}95\phantom{}}\\\phantom{19)999}8\\\end{array}$$

Since 8 is less than 19, stop the division. The reminder is 8. The topmost line 0055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.

$$\text{Quotient: }55 \text{Reminder: }8$$

Factor

$$\frac{3 ^ {4} \cdot 13}{19} = 55\frac{8}{19} = 55.421052631578945$$