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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 956 · 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. 1.71224 ÷ 96 =
  2. 2.35929 ÷ 98 =
  3. 3.21161 ÷ 97 =
  4. 4.59350 ÷ 88 =
  5. 5.43230 ÷ 96 =
  6. 6.43585 ÷ 96 =
  7. 7.58026 ÷ 98 =
  8. 8.5415 ÷ 8 =
  9. 9.87175 ÷ 989 =
  10. 10.27979 ÷ 88 =
  11. 11.5044 ÷ 8 =
  12. 12.162440 ÷ 989 =
  13. 13.504534 ÷ 988 =
  14. 14.62203 ÷ 88 =
  15. 15.53151 ÷ 89 =
  16. 16.486515 ÷ 997 =
  17. 17.360170 ÷ 989 =
  18. 18.2784 ÷ 89 =
  19. 19.51220 ÷ 98 =
  20. 20.926835 ÷ 989 =
  21. 21.44920 ÷ 97 =
  22. 22.28756 ÷ 96 =
  23. 23.148680 ÷ 997 =
  24. 24.3265 ÷ 8 =
  25. 25.1306 ÷ 8 =
  26. 26.99714 ÷ 89 =
  27. 27.455518 ÷ 897 =
  28. 28.66585 ÷ 989 =
  29. 29.7064 ÷ 8 =
  30. 30.25455 ÷ 89 =
  31. 31.13906 ÷ 97 =
  32. 32.695168 ÷ 998 =
  33. 33.820987 ÷ 897 =
  34. 34.7844 ÷ 96 =
  35. 35.925502 ÷ 998 =
  36. 36.362 ÷ 8 =
  37. 37.676126 ÷ 998 =
  38. 38.21340 ÷ 98 =
  39. 39.80054 ÷ 88 =
  40. 40.937413 ÷ 988 =

Answer key

  1. 741 rem 88
  2. 366 rem 61
  3. 218 rem 15
  4. 674 rem 38
  5. 450 rem 30
  6. 454 rem 1
  7. 592 rem 10
  8. 676 rem 7
  9. 88 rem 143
  10. 317 rem 83
  11. 630 rem 4
  12. 164 rem 244
  13. 510 rem 654
  14. 706 rem 75
  15. 597 rem 18
  16. 487 rem 976
  17. 364 rem 174
  18. 31 rem 25
  19. 522 rem 64
  20. 937 rem 142
  21. 463 rem 9
  22. 299 rem 52
  23. 149 rem 127
  24. 408 rem 1
  25. 163 rem 2
  26. 1120 rem 34
  27. 507 rem 739
  28. 67 rem 322
  29. 883 rem 0
  30. 286 rem 1
  31. 143 rem 35
  32. 696 rem 560
  33. 915 rem 232
  34. 81 rem 68
  35. 927 rem 356
  36. 45 rem 2
  37. 677 rem 480
  38. 217 rem 74
  39. 909 rem 62
  40. 948 rem 789

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