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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 341 · 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. 1.1718 ÷ 8 =
  2. 2.27543 ÷ 97 =
  3. 3.509768 ÷ 989 =
  4. 4.3525 ÷ 96 =
  5. 5.5884 ÷ 8 =
  6. 6.32390 ÷ 97 =
  7. 7.34321 ÷ 88 =
  8. 8.35317 ÷ 897 =
  9. 9.29140 ÷ 96 =
  10. 10.348120 ÷ 989 =
  11. 11.134931 ÷ 998 =
  12. 12.64176 ÷ 98 =
  13. 13.9189 ÷ 96 =
  14. 14.67488 ÷ 88 =
  15. 15.413796 ÷ 998 =
  16. 16.75471 ÷ 96 =
  17. 17.41596 ÷ 88 =
  18. 18.817839 ÷ 988 =
  19. 19.784633 ÷ 998 =
  20. 20.43820 ÷ 97 =
  21. 21.7864 ÷ 98 =
  22. 22.643589 ÷ 988 =
  23. 23.559667 ÷ 997 =
  24. 24.92170 ÷ 96 =
  25. 25.9979 ÷ 97 =
  26. 26.349320 ÷ 997 =
  27. 27.27958 ÷ 96 =
  28. 28.20320 ÷ 89 =
  29. 29.570328 ÷ 997 =
  30. 30.175118 ÷ 988 =
  31. 31.18746 ÷ 98 =
  32. 32.871170 ÷ 989 =
  33. 33.9423 ÷ 8 =
  34. 34.52290 ÷ 98 =
  35. 35.505649 ÷ 988 =
  36. 36.634096 ÷ 897 =
  37. 37.670839 ÷ 989 =
  38. 38.8872 ÷ 8 =
  39. 39.10936 ÷ 98 =
  40. 40.110916 ÷ 897 =

Answer key

  1. 214 rem 6
  2. 283 rem 92
  3. 515 rem 433
  4. 36 rem 69
  5. 735 rem 4
  6. 333 rem 89
  7. 390 rem 1
  8. 39 rem 334
  9. 303 rem 52
  10. 351 rem 981
  11. 135 rem 201
  12. 654 rem 84
  13. 95 rem 69
  14. 766 rem 80
  15. 414 rem 624
  16. 786 rem 15
  17. 472 rem 60
  18. 827 rem 763
  19. 786 rem 205
  20. 451 rem 73
  21. 80 rem 24
  22. 651 rem 401
  23. 561 rem 350
  24. 960 rem 10
  25. 102 rem 85
  26. 350 rem 370
  27. 291 rem 22
  28. 228 rem 28
  29. 572 rem 44
  30. 177 rem 242
  31. 191 rem 28
  32. 880 rem 850
  33. 1177 rem 7
  34. 533 rem 56
  35. 511 rem 781
  36. 706 rem 814
  37. 678 rem 297
  38. 1109 rem 0
  39. 111 rem 58
  40. 123 rem 585

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