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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 73 · 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. 1.48776 ÷ 89 =
  2. 2.3488 ÷ 97 =
  3. 3.325 ÷ 8 =
  4. 4.1219 ÷ 8 =
  5. 5.6310 ÷ 8 =
  6. 6.2480 ÷ 8 =
  7. 7.395937 ÷ 988 =
  8. 8.265485 ÷ 988 =
  9. 9.24668 ÷ 89 =
  10. 10.298363 ÷ 997 =
  11. 11.28925 ÷ 96 =
  12. 12.268278 ÷ 997 =
  13. 13.605291 ÷ 989 =
  14. 14.15989 ÷ 97 =
  15. 15.45948 ÷ 96 =
  16. 16.90758 ÷ 88 =
  17. 17.486550 ÷ 998 =
  18. 18.55675 ÷ 96 =
  19. 19.980010 ÷ 997 =
  20. 20.492006 ÷ 998 =
  21. 21.18041 ÷ 88 =
  22. 22.459849 ÷ 988 =
  23. 23.462375 ÷ 989 =
  24. 24.1607 ÷ 98 =
  25. 25.977488 ÷ 998 =
  26. 26.17033 ÷ 989 =
  27. 27.136467 ÷ 997 =
  28. 28.95086 ÷ 96 =
  29. 29.7524 ÷ 88 =
  30. 30.26114 ÷ 89 =
  31. 31.130110 ÷ 997 =
  32. 32.88446 ÷ 97 =
  33. 33.2985 ÷ 8 =
  34. 34.19257 ÷ 98 =
  35. 35.42104 ÷ 98 =
  36. 36.262045 ÷ 989 =
  37. 37.86078 ÷ 998 =
  38. 38.20546 ÷ 96 =
  39. 39.447725 ÷ 997 =
  40. 40.33471 ÷ 88 =

Answer key

  1. 548 rem 4
  2. 35 rem 93
  3. 40 rem 5
  4. 152 rem 3
  5. 788 rem 6
  6. 310 rem 0
  7. 400 rem 737
  8. 268 rem 701
  9. 277 rem 15
  10. 299 rem 260
  11. 301 rem 29
  12. 269 rem 85
  13. 612 rem 23
  14. 164 rem 81
  15. 478 rem 60
  16. 1031 rem 30
  17. 487 rem 524
  18. 579 rem 91
  19. 982 rem 956
  20. 492 rem 990
  21. 205 rem 1
  22. 465 rem 429
  23. 467 rem 512
  24. 16 rem 39
  25. 979 rem 446
  26. 17 rem 220
  27. 136 rem 875
  28. 990 rem 46
  29. 85 rem 44
  30. 293 rem 37
  31. 130 rem 500
  32. 911 rem 79
  33. 373 rem 1
  34. 196 rem 49
  35. 429 rem 62
  36. 264 rem 949
  37. 86 rem 250
  38. 214 rem 2
  39. 449 rem 72
  40. 380 rem 31

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