Solve 36705div42

$$36705 \div 42$$

Evaluate

$$\frac{12235}{14}\approx 873.928571429$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 36705

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)36705}\\\end{array}$$

Since 3 is less than 42, use the next digit 6 from dividend 36705 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)36705}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 36705

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)36705}\\\end{array}$$

Since 36 is less than 42, use the next digit 7 from dividend 36705 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)36705}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 36705

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)36705}\\\end{array}$$

Find closest multiple of 42 to 367. We see that 8 \times 42 = 336 is the nearest. Now subtract 336 from 367 to get reminder 31. Add 8 to quotient.

$$\begin{array}{l}\phantom{42)}008\phantom{6}\\42\overline{)36705}\\\phantom{42)}\underline{\phantom{}336\phantom{99}}\\\phantom{42)9}31\\\end{array}$$

Use the 4^{th} digit 0 from dividend 36705

$$\begin{array}{l}\phantom{42)}008\phantom{7}\\42\overline{)36705}\\\phantom{42)}\underline{\phantom{}336\phantom{99}}\\\phantom{42)9}310\\\end{array}$$

Find closest multiple of 42 to 310. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 310 to get reminder 16. Add 7 to quotient.

$$\begin{array}{l}\phantom{42)}0087\phantom{8}\\42\overline{)36705}\\\phantom{42)}\underline{\phantom{}336\phantom{99}}\\\phantom{42)9}310\\\phantom{42)}\underline{\phantom{9}294\phantom{9}}\\\phantom{42)99}16\\\end{array}$$

Use the 5^{th} digit 5 from dividend 36705

$$\begin{array}{l}\phantom{42)}0087\phantom{9}\\42\overline{)36705}\\\phantom{42)}\underline{\phantom{}336\phantom{99}}\\\phantom{42)9}310\\\phantom{42)}\underline{\phantom{9}294\phantom{9}}\\\phantom{42)99}165\\\end{array}$$

Find closest multiple of 42 to 165. We see that 3 \times 42 = 126 is the nearest. Now subtract 126 from 165 to get reminder 39. Add 3 to quotient.

$$\begin{array}{l}\phantom{42)}00873\phantom{10}\\42\overline{)36705}\\\phantom{42)}\underline{\phantom{}336\phantom{99}}\\\phantom{42)9}310\\\phantom{42)}\underline{\phantom{9}294\phantom{9}}\\\phantom{42)99}165\\\phantom{42)}\underline{\phantom{99}126\phantom{}}\\\phantom{42)999}39\\\end{array}$$

Since 39 is less than 42, stop the division. The reminder is 39. The topmost line 00873 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 873.

$$\text{Quotient: }873 \text{Reminder: }39$$

Factor

$$\frac{5 \cdot 2447}{2 \cdot 7} = 873\frac{13}{14} = 873.9285714285714$$