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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 672 · 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. 1.359384 ÷ 988 =
  2. 2.935317 ÷ 988 =
  3. 3.486432 ÷ 988 =
  4. 4.40628 ÷ 89 =
  5. 5.222723 ÷ 997 =
  6. 6.31038 ÷ 89 =
  7. 7.628445 ÷ 997 =
  8. 8.717184 ÷ 998 =
  9. 9.82104 ÷ 89 =
  10. 10.36964 ÷ 97 =
  11. 11.268031 ÷ 897 =
  12. 12.708717 ÷ 989 =
  13. 13.87774 ÷ 96 =
  14. 14.593270 ÷ 997 =
  15. 15.689998 ÷ 997 =
  16. 16.525 ÷ 8 =
  17. 17.42857 ÷ 97 =
  18. 18.4471 ÷ 8 =
  19. 19.747827 ÷ 997 =
  20. 20.435353 ÷ 998 =
  21. 21.53295 ÷ 96 =
  22. 22.10621 ÷ 89 =
  23. 23.302558 ÷ 989 =
  24. 24.13059 ÷ 88 =
  25. 25.864481 ÷ 988 =
  26. 26.40144 ÷ 96 =
  27. 27.547173 ÷ 897 =
  28. 28.505754 ÷ 988 =
  29. 29.780932 ÷ 997 =
  30. 30.79276 ÷ 989 =
  31. 31.6340 ÷ 8 =
  32. 32.218546 ÷ 997 =
  33. 33.247501 ÷ 989 =
  34. 34.33812 ÷ 96 =
  35. 35.419696 ÷ 998 =
  36. 36.591136 ÷ 997 =
  37. 37.214707 ÷ 997 =
  38. 38.254133 ÷ 897 =
  39. 39.1756 ÷ 8 =
  40. 40.678397 ÷ 988 =

Answer key

  1. 363 rem 740
  2. 946 rem 669
  3. 492 rem 336
  4. 456 rem 44
  5. 223 rem 392
  6. 348 rem 66
  7. 630 rem 335
  8. 718 rem 620
  9. 922 rem 46
  10. 381 rem 7
  11. 298 rem 725
  12. 716 rem 593
  13. 914 rem 30
  14. 595 rem 55
  15. 692 rem 74
  16. 65 rem 5
  17. 441 rem 80
  18. 558 rem 7
  19. 750 rem 77
  20. 436 rem 225
  21. 555 rem 15
  22. 119 rem 30
  23. 305 rem 913
  24. 148 rem 35
  25. 874 rem 969
  26. 418 rem 16
  27. 610 rem 3
  28. 511 rem 886
  29. 783 rem 281
  30. 80 rem 156
  31. 792 rem 4
  32. 219 rem 203
  33. 250 rem 251
  34. 352 rem 20
  35. 420 rem 536
  36. 592 rem 912
  37. 215 rem 352
  38. 283 rem 282
  39. 219 rem 4
  40. 686 rem 629

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