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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 868 · 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. 1.987400 ÷ 997 =
  2. 2.53130 ÷ 89 =
  3. 3.792451 ÷ 997 =
  4. 4.31411 ÷ 97 =
  5. 5.7857 ÷ 8 =
  6. 6.52170 ÷ 97 =
  7. 7.8316 ÷ 8 =
  8. 8.494557 ÷ 988 =
  9. 9.4097 ÷ 8 =
  10. 10.487541 ÷ 998 =
  11. 11.49067 ÷ 88 =
  12. 12.23258 ÷ 988 =
  13. 13.15031 ÷ 96 =
  14. 14.265355 ÷ 989 =
  15. 15.7574 ÷ 8 =
  16. 16.26060 ÷ 97 =
  17. 17.530448 ÷ 998 =
  18. 18.6103 ÷ 8 =
  19. 19.55296 ÷ 97 =
  20. 20.61601 ÷ 98 =
  21. 21.76556 ÷ 96 =
  22. 22.9374 ÷ 98 =
  23. 23.74179 ÷ 97 =
  24. 24.32832 ÷ 98 =
  25. 25.742595 ÷ 897 =
  26. 26.8810 ÷ 8 =
  27. 27.98415 ÷ 88 =
  28. 28.7083 ÷ 96 =
  29. 29.858962 ÷ 897 =
  30. 30.457012 ÷ 997 =
  31. 31.568019 ÷ 988 =
  32. 32.97734 ÷ 88 =
  33. 33.43536 ÷ 98 =
  34. 34.24414 ÷ 98 =
  35. 35.53675 ÷ 89 =
  36. 36.428093 ÷ 998 =
  37. 37.5835 ÷ 88 =
  38. 38.4288 ÷ 97 =
  39. 39.433680 ÷ 989 =
  40. 40.2799 ÷ 8 =

Answer key

  1. 990 rem 370
  2. 596 rem 86
  3. 794 rem 833
  4. 323 rem 80
  5. 982 rem 1
  6. 537 rem 81
  7. 1039 rem 4
  8. 500 rem 557
  9. 512 rem 1
  10. 488 rem 517
  11. 557 rem 51
  12. 23 rem 534
  13. 156 rem 55
  14. 268 rem 303
  15. 946 rem 6
  16. 268 rem 64
  17. 531 rem 510
  18. 762 rem 7
  19. 570 rem 6
  20. 628 rem 57
  21. 797 rem 44
  22. 95 rem 64
  23. 764 rem 71
  24. 335 rem 2
  25. 827 rem 776
  26. 1101 rem 2
  27. 1118 rem 31
  28. 73 rem 75
  29. 957 rem 533
  30. 458 rem 386
  31. 574 rem 907
  32. 1110 rem 54
  33. 444 rem 24
  34. 249 rem 12
  35. 603 rem 8
  36. 428 rem 949
  37. 66 rem 27
  38. 44 rem 20
  39. 438 rem 498
  40. 349 rem 7

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