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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 784 · 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. 1.63436 ÷ 97 =
  2. 2.7927 ÷ 88 =
  3. 3.23005 ÷ 97 =
  4. 4.432021 ÷ 897 =
  5. 5.100943 ÷ 897 =
  6. 6.421920 ÷ 989 =
  7. 7.70764 ÷ 98 =
  8. 8.172603 ÷ 988 =
  9. 9.160576 ÷ 998 =
  10. 10.8567 ÷ 8 =
  11. 11.33253 ÷ 97 =
  12. 12.55978 ÷ 98 =
  13. 13.24923 ÷ 96 =
  14. 14.725835 ÷ 998 =
  15. 15.20400 ÷ 98 =
  16. 16.48427 ÷ 96 =
  17. 17.627183 ÷ 989 =
  18. 18.37623 ÷ 98 =
  19. 19.958330 ÷ 997 =
  20. 20.382327 ÷ 989 =
  21. 21.38558 ÷ 88 =
  22. 22.86560 ÷ 96 =
  23. 23.26081 ÷ 88 =
  24. 24.194801 ÷ 989 =
  25. 25.17445 ÷ 97 =
  26. 26.44150 ÷ 98 =
  27. 27.133572 ÷ 989 =
  28. 28.581316 ÷ 988 =
  29. 29.55736 ÷ 897 =
  30. 30.312310 ÷ 998 =
  31. 31.565577 ÷ 997 =
  32. 32.555004 ÷ 989 =
  33. 33.559 ÷ 8 =
  34. 34.81056 ÷ 89 =
  35. 35.94681 ÷ 97 =
  36. 36.9459 ÷ 96 =
  37. 37.66703 ÷ 897 =
  38. 38.57030 ÷ 96 =
  39. 39.1869 ÷ 8 =
  40. 40.26408 ÷ 97 =

Answer key

  1. 653 rem 95
  2. 90 rem 7
  3. 237 rem 16
  4. 481 rem 564
  5. 112 rem 479
  6. 426 rem 606
  7. 722 rem 8
  8. 174 rem 691
  9. 160 rem 896
  10. 1070 rem 7
  11. 342 rem 79
  12. 571 rem 20
  13. 259 rem 59
  14. 727 rem 289
  15. 208 rem 16
  16. 504 rem 43
  17. 634 rem 157
  18. 383 rem 89
  19. 961 rem 213
  20. 386 rem 573
  21. 438 rem 14
  22. 901 rem 64
  23. 296 rem 33
  24. 196 rem 957
  25. 179 rem 82
  26. 450 rem 50
  27. 135 rem 57
  28. 588 rem 372
  29. 62 rem 122
  30. 312 rem 934
  31. 567 rem 278
  32. 561 rem 175
  33. 69 rem 7
  34. 910 rem 66
  35. 976 rem 9
  36. 98 rem 51
  37. 74 rem 325
  38. 594 rem 6
  39. 233 rem 5
  40. 272 rem 24

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