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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 799 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.52450 ÷ 96 =
  2. 2.76324 ÷ 997 =
  3. 3.477755 ÷ 988 =
  4. 4.935878 ÷ 897 =
  5. 5.87390 ÷ 96 =
  6. 6.725144 ÷ 988 =
  7. 7.768565 ÷ 988 =
  8. 8.57535 ÷ 897 =
  9. 9.95170 ÷ 997 =
  10. 10.577718 ÷ 989 =
  11. 11.431271 ÷ 997 =
  12. 12.352961 ÷ 897 =
  13. 13.836 ÷ 8 =
  14. 14.98449 ÷ 97 =
  15. 15.771557 ÷ 998 =
  16. 16.151189 ÷ 988 =
  17. 17.475660 ÷ 998 =
  18. 18.4063 ÷ 8 =
  19. 19.757957 ÷ 988 =
  20. 20.4409 ÷ 98 =
  21. 21.732189 ÷ 998 =
  22. 22.56237 ÷ 96 =
  23. 23.554983 ÷ 989 =
  24. 24.25172 ÷ 88 =
  25. 25.78251 ÷ 97 =
  26. 26.941297 ÷ 998 =
  27. 27.20040 ÷ 98 =
  28. 28.1344 ÷ 8 =
  29. 29.42363 ÷ 89 =
  30. 30.368520 ÷ 989 =
  31. 31.2367 ÷ 8 =
  32. 32.14335 ÷ 96 =
  33. 33.986511 ÷ 989 =
  34. 34.77737 ÷ 98 =
  35. 35.648051 ÷ 997 =
  36. 36.86392 ÷ 88 =
  37. 37.60736 ÷ 88 =
  38. 38.347881 ÷ 997 =
  39. 39.85208 ÷ 96 =
  40. 40.4113 ÷ 8 =

Answer key

  1. 546 rem 34
  2. 76 rem 552
  3. 483 rem 551
  4. 1043 rem 307
  5. 910 rem 30
  6. 733 rem 940
  7. 777 rem 889
  8. 64 rem 127
  9. 95 rem 455
  10. 584 rem 142
  11. 432 rem 567
  12. 393 rem 440
  13. 104 rem 4
  14. 1014 rem 91
  15. 773 rem 103
  16. 153 rem 25
  17. 476 rem 612
  18. 507 rem 7
  19. 767 rem 161
  20. 44 rem 97
  21. 733 rem 655
  22. 585 rem 77
  23. 561 rem 154
  24. 286 rem 4
  25. 806 rem 69
  26. 943 rem 183
  27. 204 rem 48
  28. 168 rem 0
  29. 475 rem 88
  30. 372 rem 612
  31. 295 rem 7
  32. 149 rem 31
  33. 997 rem 478
  34. 793 rem 23
  35. 650 rem 1
  36. 981 rem 64
  37. 690 rem 16
  38. 348 rem 925
  39. 887 rem 56
  40. 514 rem 1

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