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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 387 · 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. 1.927017 ÷ 997 =
  2. 2.77873 ÷ 98 =
  3. 3.342222 ÷ 988 =
  4. 4.64233 ÷ 96 =
  5. 5.548936 ÷ 997 =
  6. 6.952590 ÷ 997 =
  7. 7.347839 ÷ 988 =
  8. 8.87285 ÷ 88 =
  9. 9.175539 ÷ 989 =
  10. 10.43849 ÷ 96 =
  11. 11.4273 ÷ 96 =
  12. 12.412840 ÷ 998 =
  13. 13.951164 ÷ 897 =
  14. 14.42844 ÷ 97 =
  15. 15.18314 ÷ 97 =
  16. 16.241686 ÷ 897 =
  17. 17.87666 ÷ 89 =
  18. 18.13488 ÷ 98 =
  19. 19.7438 ÷ 88 =
  20. 20.7203 ÷ 8 =
  21. 21.848151 ÷ 989 =
  22. 22.1299 ÷ 97 =
  23. 23.123839 ÷ 998 =
  24. 24.1892 ÷ 8 =
  25. 25.27092 ÷ 98 =
  26. 26.96729 ÷ 98 =
  27. 27.218818 ÷ 989 =
  28. 28.840323 ÷ 897 =
  29. 29.862422 ÷ 989 =
  30. 30.55981 ÷ 96 =
  31. 31.379733 ÷ 897 =
  32. 32.204604 ÷ 998 =
  33. 33.6479 ÷ 8 =
  34. 34.938803 ÷ 998 =
  35. 35.7279 ÷ 97 =
  36. 36.12378 ÷ 96 =
  37. 37.13158 ÷ 97 =
  38. 38.7858 ÷ 8 =
  39. 39.34761 ÷ 96 =
  40. 40.17007 ÷ 97 =

Answer key

  1. 929 rem 804
  2. 794 rem 61
  3. 346 rem 374
  4. 669 rem 9
  5. 550 rem 586
  6. 955 rem 455
  7. 352 rem 63
  8. 991 rem 77
  9. 177 rem 486
  10. 456 rem 73
  11. 44 rem 49
  12. 413 rem 666
  13. 1060 rem 344
  14. 441 rem 67
  15. 188 rem 78
  16. 269 rem 393
  17. 985 rem 1
  18. 137 rem 62
  19. 84 rem 46
  20. 900 rem 3
  21. 857 rem 578
  22. 13 rem 38
  23. 124 rem 87
  24. 236 rem 4
  25. 276 rem 44
  26. 987 rem 3
  27. 221 rem 249
  28. 936 rem 731
  29. 872 rem 14
  30. 583 rem 13
  31. 423 rem 302
  32. 205 rem 14
  33. 809 rem 7
  34. 940 rem 683
  35. 75 rem 4
  36. 128 rem 90
  37. 135 rem 63
  38. 982 rem 2
  39. 362 rem 9
  40. 175 rem 32

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