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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 324 · 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. 1.9037 ÷ 8 =
  2. 2.647651 ÷ 897 =
  3. 3.236844 ÷ 897 =
  4. 4.505263 ÷ 988 =
  5. 5.15873 ÷ 98 =
  6. 6.83179 ÷ 88 =
  7. 7.761878 ÷ 997 =
  8. 8.12040 ÷ 97 =
  9. 9.42878 ÷ 89 =
  10. 10.70206 ÷ 89 =
  11. 11.41221 ÷ 97 =
  12. 12.8570 ÷ 8 =
  13. 13.31966 ÷ 89 =
  14. 14.543757 ÷ 998 =
  15. 15.833353 ÷ 989 =
  16. 16.415329 ÷ 989 =
  17. 17.520173 ÷ 989 =
  18. 18.46682 ÷ 88 =
  19. 19.916276 ÷ 997 =
  20. 20.584453 ÷ 988 =
  21. 21.345 ÷ 8 =
  22. 22.95875 ÷ 89 =
  23. 23.129888 ÷ 989 =
  24. 24.286675 ÷ 897 =
  25. 25.83587 ÷ 89 =
  26. 26.27884 ÷ 97 =
  27. 27.23484 ÷ 897 =
  28. 28.18214 ÷ 98 =
  29. 29.1099 ÷ 8 =
  30. 30.552724 ÷ 998 =
  31. 31.22322 ÷ 98 =
  32. 32.28620 ÷ 97 =
  33. 33.759635 ÷ 988 =
  34. 34.97878 ÷ 89 =
  35. 35.628752 ÷ 988 =
  36. 36.8234 ÷ 8 =
  37. 37.660531 ÷ 897 =
  38. 38.2772 ÷ 8 =
  39. 39.944 ÷ 8 =
  40. 40.424705 ÷ 998 =

Answer key

  1. 1129 rem 5
  2. 722 rem 17
  3. 264 rem 36
  4. 511 rem 395
  5. 161 rem 95
  6. 945 rem 19
  7. 764 rem 170
  8. 124 rem 12
  9. 481 rem 69
  10. 788 rem 74
  11. 424 rem 93
  12. 1071 rem 2
  13. 359 rem 15
  14. 544 rem 845
  15. 842 rem 615
  16. 419 rem 938
  17. 525 rem 948
  18. 530 rem 42
  19. 919 rem 33
  20. 591 rem 545
  21. 43 rem 1
  22. 1077 rem 22
  23. 131 rem 329
  24. 319 rem 532
  25. 939 rem 16
  26. 287 rem 45
  27. 26 rem 162
  28. 185 rem 84
  29. 137 rem 3
  30. 553 rem 830
  31. 227 rem 76
  32. 295 rem 5
  33. 768 rem 851
  34. 1099 rem 67
  35. 636 rem 384
  36. 1029 rem 2
  37. 736 rem 339
  38. 346 rem 4
  39. 118 rem 0
  40. 425 rem 555

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