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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 481 · 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. 1.2474 ÷ 97 =
  2. 2.559578 ÷ 988 =
  3. 3.3000 ÷ 8 =
  4. 4.437022 ÷ 988 =
  5. 5.26167 ÷ 98 =
  6. 6.7532 ÷ 8 =
  7. 7.502330 ÷ 989 =
  8. 8.8423 ÷ 8 =
  9. 9.4151 ÷ 8 =
  10. 10.15783 ÷ 88 =
  11. 11.43443 ÷ 98 =
  12. 12.194 ÷ 8 =
  13. 13.58377 ÷ 97 =
  14. 14.883944 ÷ 897 =
  15. 15.813726 ÷ 998 =
  16. 16.71534 ÷ 89 =
  17. 17.274166 ÷ 988 =
  18. 18.97795 ÷ 89 =
  19. 19.45688 ÷ 96 =
  20. 20.30210 ÷ 97 =
  21. 21.95910 ÷ 89 =
  22. 22.2630 ÷ 8 =
  23. 23.12869 ÷ 88 =
  24. 24.66580 ÷ 98 =
  25. 25.74158 ÷ 988 =
  26. 26.97189 ÷ 96 =
  27. 27.12753 ÷ 97 =
  28. 28.84679 ÷ 96 =
  29. 29.92686 ÷ 97 =
  30. 30.98594 ÷ 97 =
  31. 31.8484 ÷ 8 =
  32. 32.23034 ÷ 98 =
  33. 33.48676 ÷ 96 =
  34. 34.810798 ÷ 988 =
  35. 35.318907 ÷ 998 =
  36. 36.212375 ÷ 897 =
  37. 37.94727 ÷ 96 =
  38. 38.47254 ÷ 88 =
  39. 39.257509 ÷ 998 =
  40. 40.31309 ÷ 97 =

Answer key

  1. 25 rem 49
  2. 566 rem 370
  3. 375 rem 0
  4. 442 rem 326
  5. 267 rem 1
  6. 941 rem 4
  7. 507 rem 907
  8. 1052 rem 7
  9. 518 rem 7
  10. 179 rem 31
  11. 443 rem 29
  12. 24 rem 2
  13. 601 rem 80
  14. 985 rem 399
  15. 815 rem 356
  16. 803 rem 67
  17. 277 rem 490
  18. 1098 rem 73
  19. 475 rem 88
  20. 311 rem 43
  21. 1077 rem 57
  22. 328 rem 6
  23. 146 rem 21
  24. 679 rem 38
  25. 75 rem 58
  26. 1012 rem 37
  27. 131 rem 46
  28. 882 rem 7
  29. 955 rem 51
  30. 1016 rem 42
  31. 1060 rem 4
  32. 235 rem 4
  33. 507 rem 4
  34. 820 rem 638
  35. 319 rem 545
  36. 236 rem 683
  37. 986 rem 71
  38. 536 rem 86
  39. 258 rem 25
  40. 322 rem 75

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