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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 116 · 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. 1.4800 ÷ 89 =
  2. 2.1500 ÷ 98 =
  3. 3.172914 ÷ 997 =
  4. 4.7694 ÷ 8 =
  5. 5.99954 ÷ 89 =
  6. 6.2119 ÷ 8 =
  7. 7.582046 ÷ 998 =
  8. 8.54741 ÷ 88 =
  9. 9.933 ÷ 8 =
  10. 10.108705 ÷ 988 =
  11. 11.44684 ÷ 97 =
  12. 12.3684 ÷ 8 =
  13. 13.942435 ÷ 988 =
  14. 14.7201 ÷ 8 =
  15. 15.378492 ÷ 998 =
  16. 16.345805 ÷ 988 =
  17. 17.8170 ÷ 89 =
  18. 18.832520 ÷ 998 =
  19. 19.988624 ÷ 998 =
  20. 20.401138 ÷ 997 =
  21. 21.196313 ÷ 997 =
  22. 22.74546 ÷ 98 =
  23. 23.174293 ÷ 989 =
  24. 24.5833 ÷ 98 =
  25. 25.482049 ÷ 897 =
  26. 26.53337 ÷ 88 =
  27. 27.71217 ÷ 96 =
  28. 28.900510 ÷ 997 =
  29. 29.3353 ÷ 8 =
  30. 30.67464 ÷ 98 =
  31. 31.35859 ÷ 97 =
  32. 32.393134 ÷ 997 =
  33. 33.93377 ÷ 88 =
  34. 34.463300 ÷ 989 =
  35. 35.76368 ÷ 88 =
  36. 36.2583 ÷ 98 =
  37. 37.402836 ÷ 988 =
  38. 38.22709 ÷ 96 =
  39. 39.851394 ÷ 997 =
  40. 40.49591 ÷ 98 =

Answer key

  1. 53 rem 83
  2. 15 rem 30
  3. 173 rem 433
  4. 961 rem 6
  5. 1123 rem 7
  6. 264 rem 7
  7. 583 rem 212
  8. 622 rem 5
  9. 116 rem 5
  10. 110 rem 25
  11. 460 rem 64
  12. 460 rem 4
  13. 953 rem 871
  14. 900 rem 1
  15. 379 rem 250
  16. 350 rem 5
  17. 91 rem 71
  18. 834 rem 188
  19. 990 rem 604
  20. 402 rem 344
  21. 196 rem 901
  22. 760 rem 66
  23. 176 rem 229
  24. 59 rem 51
  25. 537 rem 360
  26. 606 rem 9
  27. 741 rem 81
  28. 903 rem 219
  29. 419 rem 1
  30. 688 rem 40
  31. 369 rem 66
  32. 394 rem 316
  33. 1061 rem 9
  34. 468 rem 448
  35. 867 rem 72
  36. 26 rem 35
  37. 407 rem 720
  38. 236 rem 53
  39. 853 rem 953
  40. 506 rem 3

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