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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 544 · 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. 1.513699 ÷ 998 =
  2. 2.98951 ÷ 97 =
  3. 3.6301 ÷ 96 =
  4. 4.9713 ÷ 8 =
  5. 5.553561 ÷ 988 =
  6. 6.2139 ÷ 98 =
  7. 7.42955 ÷ 96 =
  8. 8.81267 ÷ 98 =
  9. 9.252353 ÷ 897 =
  10. 10.627409 ÷ 897 =
  11. 11.982052 ÷ 897 =
  12. 12.27855 ÷ 97 =
  13. 13.53142 ÷ 88 =
  14. 14.15220 ÷ 97 =
  15. 15.360859 ÷ 897 =
  16. 16.221245 ÷ 997 =
  17. 17.75291 ÷ 89 =
  18. 18.437408 ÷ 997 =
  19. 19.17455 ÷ 89 =
  20. 20.786963 ÷ 897 =
  21. 21.3614 ÷ 8 =
  22. 22.432358 ÷ 998 =
  23. 23.94415 ÷ 96 =
  24. 24.3021 ÷ 8 =
  25. 25.60869 ÷ 988 =
  26. 26.7843 ÷ 8 =
  27. 27.8785 ÷ 8 =
  28. 28.9627 ÷ 8 =
  29. 29.177191 ÷ 989 =
  30. 30.6099 ÷ 8 =
  31. 31.887223 ÷ 997 =
  32. 32.47568 ÷ 89 =
  33. 33.9136 ÷ 8 =
  34. 34.473 ÷ 8 =
  35. 35.116261 ÷ 997 =
  36. 36.726478 ÷ 988 =
  37. 37.99086 ÷ 997 =
  38. 38.259618 ÷ 997 =
  39. 39.80344 ÷ 88 =
  40. 40.440331 ÷ 989 =

Answer key

  1. 514 rem 727
  2. 1020 rem 11
  3. 65 rem 61
  4. 1214 rem 1
  5. 560 rem 281
  6. 21 rem 81
  7. 447 rem 43
  8. 829 rem 25
  9. 281 rem 296
  10. 699 rem 406
  11. 1094 rem 734
  12. 287 rem 16
  13. 603 rem 78
  14. 156 rem 88
  15. 402 rem 265
  16. 221 rem 908
  17. 845 rem 86
  18. 438 rem 722
  19. 196 rem 11
  20. 877 rem 294
  21. 451 rem 6
  22. 433 rem 224
  23. 983 rem 47
  24. 377 rem 5
  25. 61 rem 601
  26. 980 rem 3
  27. 1098 rem 1
  28. 1203 rem 3
  29. 179 rem 160
  30. 762 rem 3
  31. 889 rem 890
  32. 534 rem 42
  33. 1142 rem 0
  34. 59 rem 1
  35. 116 rem 609
  36. 735 rem 298
  37. 99 rem 383
  38. 260 rem 398
  39. 913 rem 0
  40. 445 rem 226

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