Solve 34741div70

$$34741 \div 70$$

Evaluate

$$\frac{4963}{10}=496.3$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34741

$$\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)34741}\\\end{array}$$

Since 3 is less than 70, use the next digit 4 from dividend 34741 and add 0 to the quotient

$$\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)34741}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34741

$$\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)34741}\\\end{array}$$

Since 34 is less than 70, use the next digit 7 from dividend 34741 and add 0 to the quotient

$$\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)34741}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 34741

$$\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)34741}\\\end{array}$$

Find closest multiple of 70 to 347. We see that 4 \times 70 = 280 is the nearest. Now subtract 280 from 347 to get reminder 67. Add 4 to quotient.

$$\begin{array}{l}\phantom{70)}004\phantom{6}\\70\overline{)34741}\\\phantom{70)}\underline{\phantom{}280\phantom{99}}\\\phantom{70)9}67\\\end{array}$$

Use the 4^{th} digit 4 from dividend 34741

$$\begin{array}{l}\phantom{70)}004\phantom{7}\\70\overline{)34741}\\\phantom{70)}\underline{\phantom{}280\phantom{99}}\\\phantom{70)9}674\\\end{array}$$

Find closest multiple of 70 to 674. We see that 9 \times 70 = 630 is the nearest. Now subtract 630 from 674 to get reminder 44. Add 9 to quotient.

$$\begin{array}{l}\phantom{70)}0049\phantom{8}\\70\overline{)34741}\\\phantom{70)}\underline{\phantom{}280\phantom{99}}\\\phantom{70)9}674\\\phantom{70)}\underline{\phantom{9}630\phantom{9}}\\\phantom{70)99}44\\\end{array}$$

Use the 5^{th} digit 1 from dividend 34741

$$\begin{array}{l}\phantom{70)}0049\phantom{9}\\70\overline{)34741}\\\phantom{70)}\underline{\phantom{}280\phantom{99}}\\\phantom{70)9}674\\\phantom{70)}\underline{\phantom{9}630\phantom{9}}\\\phantom{70)99}441\\\end{array}$$

Find closest multiple of 70 to 441. We see that 6 \times 70 = 420 is the nearest. Now subtract 420 from 441 to get reminder 21. Add 6 to quotient.

$$\begin{array}{l}\phantom{70)}00496\phantom{10}\\70\overline{)34741}\\\phantom{70)}\underline{\phantom{}280\phantom{99}}\\\phantom{70)9}674\\\phantom{70)}\underline{\phantom{9}630\phantom{9}}\\\phantom{70)99}441\\\phantom{70)}\underline{\phantom{99}420\phantom{}}\\\phantom{70)999}21\\\end{array}$$

Since 21 is less than 70, stop the division. The reminder is 21. The topmost line 00496 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 496.

$$\text{Quotient: }496 \text{Reminder: }21$$

Factor

$$\frac{7 \cdot 709}{2 \cdot 5} = 496\frac{3}{10} = 496.3$$