Solve 1007div52

$$1007 \div 52$$

Evaluate

$$\frac{1007}{52}\approx 19.365384615$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1007

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)1007}\\\end{array}$$

Since 1 is less than 52, use the next digit 0 from dividend 1007 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)1007}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1007

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)1007}\\\end{array}$$

Since 10 is less than 52, use the next digit 0 from dividend 1007 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)1007}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1007

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)1007}\\\end{array}$$

Find closest multiple of 52 to 100. We see that 1 \times 52 = 52 is the nearest. Now subtract 52 from 100 to get reminder 48. Add 1 to quotient.

$$\begin{array}{l}\phantom{52)}001\phantom{6}\\52\overline{)1007}\\\phantom{52)}\underline{\phantom{9}52\phantom{9}}\\\phantom{52)9}48\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1007

$$\begin{array}{l}\phantom{52)}001\phantom{7}\\52\overline{)1007}\\\phantom{52)}\underline{\phantom{9}52\phantom{9}}\\\phantom{52)9}487\\\end{array}$$

Find closest multiple of 52 to 487. We see that 9 \times 52 = 468 is the nearest. Now subtract 468 from 487 to get reminder 19. Add 9 to quotient.

$$\begin{array}{l}\phantom{52)}0019\phantom{8}\\52\overline{)1007}\\\phantom{52)}\underline{\phantom{9}52\phantom{9}}\\\phantom{52)9}487\\\phantom{52)}\underline{\phantom{9}468\phantom{}}\\\phantom{52)99}19\\\end{array}$$

Since 19 is less than 52, stop the division. The reminder is 19. The topmost line 0019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }19$$

Factor

$$\frac{19 \cdot 53}{2 ^ {2} \cdot 13} = 19\frac{19}{52} = 19.365384615384617$$