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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 149 · 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. 1.404556 ÷ 998 =
  2. 2.3404 ÷ 8 =
  3. 3.47845 ÷ 96 =
  4. 4.456280 ÷ 989 =
  5. 5.83225 ÷ 97 =
  6. 6.155540 ÷ 989 =
  7. 7.53702 ÷ 98 =
  8. 8.93689 ÷ 96 =
  9. 9.100369 ÷ 998 =
  10. 10.55892 ÷ 96 =
  11. 11.1678 ÷ 8 =
  12. 12.21075 ÷ 97 =
  13. 13.461656 ÷ 998 =
  14. 14.131511 ÷ 988 =
  15. 15.9186 ÷ 8 =
  16. 16.72887 ÷ 997 =
  17. 17.39279 ÷ 89 =
  18. 18.529906 ÷ 988 =
  19. 19.31975 ÷ 97 =
  20. 20.95272 ÷ 988 =
  21. 21.47310 ÷ 96 =
  22. 22.1404 ÷ 98 =
  23. 23.523786 ÷ 997 =
  24. 24.95727 ÷ 96 =
  25. 25.2711 ÷ 8 =
  26. 26.600642 ÷ 998 =
  27. 27.684367 ÷ 988 =
  28. 28.1272 ÷ 8 =
  29. 29.14876 ÷ 96 =
  30. 30.867740 ÷ 988 =
  31. 31.822769 ÷ 989 =
  32. 32.635747 ÷ 998 =
  33. 33.151609 ÷ 989 =
  34. 34.98565 ÷ 97 =
  35. 35.9745 ÷ 8 =
  36. 36.47518 ÷ 88 =
  37. 37.169852 ÷ 988 =
  38. 38.4748 ÷ 8 =
  39. 39.554691 ÷ 997 =
  40. 40.5967 ÷ 98 =

Answer key

  1. 405 rem 366
  2. 425 rem 4
  3. 498 rem 37
  4. 461 rem 351
  5. 857 rem 96
  6. 157 rem 267
  7. 547 rem 96
  8. 975 rem 89
  9. 100 rem 569
  10. 582 rem 20
  11. 209 rem 6
  12. 217 rem 26
  13. 462 rem 580
  14. 133 rem 107
  15. 1148 rem 2
  16. 73 rem 106
  17. 441 rem 30
  18. 536 rem 338
  19. 329 rem 62
  20. 96 rem 424
  21. 492 rem 78
  22. 14 rem 32
  23. 525 rem 361
  24. 997 rem 15
  25. 338 rem 7
  26. 601 rem 844
  27. 692 rem 671
  28. 159 rem 0
  29. 154 rem 92
  30. 878 rem 276
  31. 831 rem 910
  32. 637 rem 21
  33. 153 rem 292
  34. 1016 rem 13
  35. 1218 rem 1
  36. 539 rem 86
  37. 171 rem 904
  38. 593 rem 4
  39. 556 rem 359
  40. 60 rem 87

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