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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 454 · 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. 1.95686 ÷ 97 =
  2. 2.6828 ÷ 97 =
  3. 3.982147 ÷ 988 =
  4. 4.6560 ÷ 8 =
  5. 5.75621 ÷ 98 =
  6. 6.295402 ÷ 989 =
  7. 7.1741 ÷ 8 =
  8. 8.53329 ÷ 989 =
  9. 9.418490 ÷ 988 =
  10. 10.421804 ÷ 897 =
  11. 11.386245 ÷ 988 =
  12. 12.14371 ÷ 88 =
  13. 13.62775 ÷ 88 =
  14. 14.658515 ÷ 988 =
  15. 15.17842 ÷ 97 =
  16. 16.14972 ÷ 89 =
  17. 17.42681 ÷ 88 =
  18. 18.6926 ÷ 89 =
  19. 19.930501 ÷ 989 =
  20. 20.801652 ÷ 897 =
  21. 21.77912 ÷ 98 =
  22. 22.87236 ÷ 88 =
  23. 23.113314 ÷ 897 =
  24. 24.20882 ÷ 97 =
  25. 25.15550 ÷ 89 =
  26. 26.227909 ÷ 988 =
  27. 27.627147 ÷ 989 =
  28. 28.995382 ÷ 998 =
  29. 29.5089 ÷ 8 =
  30. 30.120348 ÷ 989 =
  31. 31.976528 ÷ 897 =
  32. 32.1313 ÷ 8 =
  33. 33.281739 ÷ 897 =
  34. 34.75109 ÷ 97 =
  35. 35.1069 ÷ 8 =
  36. 36.67342 ÷ 98 =
  37. 37.836828 ÷ 998 =
  38. 38.236353 ÷ 988 =
  39. 39.143 ÷ 8 =
  40. 40.68287 ÷ 98 =

Answer key

  1. 986 rem 44
  2. 70 rem 38
  3. 994 rem 75
  4. 820 rem 0
  5. 771 rem 63
  6. 298 rem 680
  7. 217 rem 5
  8. 53 rem 912
  9. 423 rem 566
  10. 470 rem 214
  11. 390 rem 925
  12. 163 rem 27
  13. 713 rem 31
  14. 666 rem 507
  15. 183 rem 91
  16. 168 rem 20
  17. 485 rem 1
  18. 77 rem 73
  19. 940 rem 841
  20. 893 rem 631
  21. 795 rem 2
  22. 991 rem 28
  23. 126 rem 292
  24. 215 rem 27
  25. 174 rem 64
  26. 230 rem 669
  27. 634 rem 121
  28. 997 rem 376
  29. 636 rem 1
  30. 121 rem 679
  31. 1088 rem 592
  32. 164 rem 1
  33. 314 rem 81
  34. 774 rem 31
  35. 133 rem 5
  36. 687 rem 16
  37. 838 rem 504
  38. 239 rem 221
  39. 17 rem 7
  40. 696 rem 79

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