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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 531 · 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. 1.58307 ÷ 96 =
  2. 2.2715 ÷ 8 =
  3. 3.11788 ÷ 89 =
  4. 4.72227 ÷ 97 =
  5. 5.633401 ÷ 998 =
  6. 6.79673 ÷ 89 =
  7. 7.7670 ÷ 8 =
  8. 8.43937 ÷ 97 =
  9. 9.221 ÷ 8 =
  10. 10.997678 ÷ 988 =
  11. 11.774613 ÷ 998 =
  12. 12.33332 ÷ 97 =
  13. 13.339065 ÷ 897 =
  14. 14.991333 ÷ 989 =
  15. 15.25400 ÷ 988 =
  16. 16.8272 ÷ 96 =
  17. 17.21413 ÷ 89 =
  18. 18.835193 ÷ 989 =
  19. 19.46722 ÷ 96 =
  20. 20.9925 ÷ 8 =
  21. 21.49974 ÷ 98 =
  22. 22.3561 ÷ 89 =
  23. 23.843361 ÷ 997 =
  24. 24.522946 ÷ 988 =
  25. 25.68386 ÷ 97 =
  26. 26.28221 ÷ 88 =
  27. 27.50728 ÷ 96 =
  28. 28.2459 ÷ 88 =
  29. 29.113386 ÷ 988 =
  30. 30.99162 ÷ 997 =
  31. 31.9882 ÷ 88 =
  32. 32.25835 ÷ 98 =
  33. 33.347231 ÷ 998 =
  34. 34.190369 ÷ 988 =
  35. 35.15844 ÷ 97 =
  36. 36.96019 ÷ 89 =
  37. 37.40293 ÷ 998 =
  38. 38.12953 ÷ 96 =
  39. 39.444098 ÷ 997 =
  40. 40.95947 ÷ 97 =

Answer key

  1. 607 rem 35
  2. 339 rem 3
  3. 132 rem 40
  4. 744 rem 59
  5. 634 rem 669
  6. 895 rem 18
  7. 958 rem 6
  8. 452 rem 93
  9. 27 rem 5
  10. 1009 rem 786
  11. 776 rem 165
  12. 343 rem 61
  13. 377 rem 896
  14. 1002 rem 355
  15. 25 rem 700
  16. 86 rem 16
  17. 240 rem 53
  18. 844 rem 477
  19. 486 rem 66
  20. 1240 rem 5
  21. 509 rem 92
  22. 40 rem 1
  23. 845 rem 896
  24. 529 rem 294
  25. 705 rem 1
  26. 320 rem 61
  27. 528 rem 40
  28. 27 rem 83
  29. 114 rem 754
  30. 99 rem 459
  31. 112 rem 26
  32. 263 rem 61
  33. 347 rem 925
  34. 192 rem 673
  35. 163 rem 33
  36. 1078 rem 77
  37. 40 rem 373
  38. 134 rem 89
  39. 445 rem 433
  40. 989 rem 14

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