Solve 299792458/846000

$$\frac{ 299792458 }{ 846000 }$$

Evaluate

$$\frac{149896229}{423000}\approx 354.364607565$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}\phantom{1}\\846000\overline{)299792458}\\\end{array}$$

Since 2 is less than 846000, use the next digit 9 from dividend 299792458 and add 0 to the quotient

$$\begin{array}{l}\phantom{846000)}0\phantom{2}\\846000\overline{)299792458}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}0\phantom{3}\\846000\overline{)299792458}\\\end{array}$$

Since 29 is less than 846000, use the next digit 9 from dividend 299792458 and add 0 to the quotient

$$\begin{array}{l}\phantom{846000)}00\phantom{4}\\846000\overline{)299792458}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}00\phantom{5}\\846000\overline{)299792458}\\\end{array}$$

Since 299 is less than 846000, use the next digit 7 from dividend 299792458 and add 0 to the quotient

$$\begin{array}{l}\phantom{846000)}000\phantom{6}\\846000\overline{)299792458}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}000\phantom{7}\\846000\overline{)299792458}\\\end{array}$$

Since 2997 is less than 846000, use the next digit 9 from dividend 299792458 and add 0 to the quotient

$$\begin{array}{l}\phantom{846000)}0000\phantom{8}\\846000\overline{)299792458}\\\end{array}$$

Use the 5^{th} digit 9 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}0000\phantom{9}\\846000\overline{)299792458}\\\end{array}$$

Since 29979 is less than 846000, use the next digit 2 from dividend 299792458 and add 0 to the quotient

$$\begin{array}{l}\phantom{846000)}00000\phantom{10}\\846000\overline{)299792458}\\\end{array}$$

Use the 6^{th} digit 2 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}00000\phantom{11}\\846000\overline{)299792458}\\\end{array}$$

Since 299792 is less than 846000, use the next digit 4 from dividend 299792458 and add 0 to the quotient

$$\begin{array}{l}\phantom{846000)}000000\phantom{12}\\846000\overline{)299792458}\\\end{array}$$

Use the 7^{th} digit 4 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}000000\phantom{13}\\846000\overline{)299792458}\\\end{array}$$

Find closest multiple of 846000 to 2997924. We see that 3 \times 846000 = 2538000 is the nearest. Now subtract 2538000 from 2997924 to get reminder 459924. Add 3 to quotient.

$$\begin{array}{l}\phantom{846000)}0000003\phantom{14}\\846000\overline{)299792458}\\\phantom{846000)}\underline{\phantom{}2538000\phantom{99}}\\\phantom{846000)9}459924\\\end{array}$$

Use the 8^{th} digit 5 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}0000003\phantom{15}\\846000\overline{)299792458}\\\phantom{846000)}\underline{\phantom{}2538000\phantom{99}}\\\phantom{846000)9}4599245\\\end{array}$$

Find closest multiple of 846000 to 4599245. We see that 5 \times 846000 = 4230000 is the nearest. Now subtract 4230000 from 4599245 to get reminder 369245. Add 5 to quotient.

$$\begin{array}{l}\phantom{846000)}00000035\phantom{16}\\846000\overline{)299792458}\\\phantom{846000)}\underline{\phantom{}2538000\phantom{99}}\\\phantom{846000)9}4599245\\\phantom{846000)}\underline{\phantom{9}4230000\phantom{9}}\\\phantom{846000)99}369245\\\end{array}$$

Use the 9^{th} digit 8 from dividend 299792458

$$\begin{array}{l}\phantom{846000)}00000035\phantom{17}\\846000\overline{)299792458}\\\phantom{846000)}\underline{\phantom{}2538000\phantom{99}}\\\phantom{846000)9}4599245\\\phantom{846000)}\underline{\phantom{9}4230000\phantom{9}}\\\phantom{846000)99}3692458\\\end{array}$$

Find closest multiple of 846000 to 3692458. We see that 4 \times 846000 = 3384000 is the nearest. Now subtract 3384000 from 3692458 to get reminder 308458. Add 4 to quotient.

$$\begin{array}{l}\phantom{846000)}000000354\phantom{18}\\846000\overline{)299792458}\\\phantom{846000)}\underline{\phantom{}2538000\phantom{99}}\\\phantom{846000)9}4599245\\\phantom{846000)}\underline{\phantom{9}4230000\phantom{9}}\\\phantom{846000)99}3692458\\\phantom{846000)}\underline{\phantom{99}3384000\phantom{}}\\\phantom{846000)999}308458\\\end{array}$$

Since 308458 is less than 846000, stop the division. The reminder is 308458. The topmost line 000000354 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 354.

$$\text{Quotient: }354 \text{Reminder: }308458$$

Factor

$$\frac{7 \cdot 73 \cdot 293339}{2 ^ {3} \cdot 3 ^ {2} \cdot 5 ^ {3} \cdot 47} = 354\frac{154229}{423000} = 354.3646075650118$$