Solve 505435/49

$$\frac{ 505435 }{ 49 }$$

Evaluate

$$10315$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 505435

$$\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)505435}\\\end{array}$$

Since 5 is less than 49, use the next digit 0 from dividend 505435 and add 0 to the quotient

$$\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)505435}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 505435

$$\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)505435}\\\end{array}$$

Find closest multiple of 49 to 50. We see that 1 \times 49 = 49 is the nearest. Now subtract 49 from 50 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{49)}01\phantom{4}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}1\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 505435

$$\begin{array}{l}\phantom{49)}01\phantom{5}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}15\\\end{array}$$

Since 15 is less than 49, use the next digit 4 from dividend 505435 and add 0 to the quotient

$$\begin{array}{l}\phantom{49)}010\phantom{6}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}15\\\end{array}$$

Use the 4^{th} digit 4 from dividend 505435

$$\begin{array}{l}\phantom{49)}010\phantom{7}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}154\\\end{array}$$

Find closest multiple of 49 to 154. We see that 3 \times 49 = 147 is the nearest. Now subtract 147 from 154 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{49)}0103\phantom{8}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}154\\\phantom{49)}\underline{\phantom{9}147\phantom{99}}\\\phantom{49)999}7\\\end{array}$$

Use the 5^{th} digit 3 from dividend 505435

$$\begin{array}{l}\phantom{49)}0103\phantom{9}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}154\\\phantom{49)}\underline{\phantom{9}147\phantom{99}}\\\phantom{49)999}73\\\end{array}$$

Find closest multiple of 49 to 73. We see that 1 \times 49 = 49 is the nearest. Now subtract 49 from 73 to get reminder 24. Add 1 to quotient.

$$\begin{array}{l}\phantom{49)}01031\phantom{10}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}154\\\phantom{49)}\underline{\phantom{9}147\phantom{99}}\\\phantom{49)999}73\\\phantom{49)}\underline{\phantom{999}49\phantom{9}}\\\phantom{49)999}24\\\end{array}$$

Use the 6^{th} digit 5 from dividend 505435

$$\begin{array}{l}\phantom{49)}01031\phantom{11}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}154\\\phantom{49)}\underline{\phantom{9}147\phantom{99}}\\\phantom{49)999}73\\\phantom{49)}\underline{\phantom{999}49\phantom{9}}\\\phantom{49)999}245\\\end{array}$$

Find closest multiple of 49 to 245. We see that 5 \times 49 = 245 is the nearest. Now subtract 245 from 245 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{49)}010315\phantom{12}\\49\overline{)505435}\\\phantom{49)}\underline{\phantom{}49\phantom{9999}}\\\phantom{49)9}154\\\phantom{49)}\underline{\phantom{9}147\phantom{99}}\\\phantom{49)999}73\\\phantom{49)}\underline{\phantom{999}49\phantom{9}}\\\phantom{49)999}245\\\phantom{49)}\underline{\phantom{999}245\phantom{}}\\\phantom{49)999999}0\\\end{array}$$

Since 0 is less than 49, stop the division. The reminder is 0. The topmost line 010315 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 10315.

$$\text{Quotient: }10315 \text{Reminder: }0$$

Factor

$$5\times 2063$$