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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 5 · 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. 1.28543 ÷ 98 =
  2. 2.983516 ÷ 897 =
  3. 3.74120 ÷ 98 =
  4. 4.46645 ÷ 89 =
  5. 5.8838 ÷ 96 =
  6. 6.739383 ÷ 998 =
  7. 7.758253 ÷ 988 =
  8. 8.4491 ÷ 89 =
  9. 9.85961 ÷ 98 =
  10. 10.11717 ÷ 97 =
  11. 11.745734 ÷ 989 =
  12. 12.326704 ÷ 997 =
  13. 13.144472 ÷ 897 =
  14. 14.15129 ÷ 88 =
  15. 15.751252 ÷ 988 =
  16. 16.481705 ÷ 997 =
  17. 17.604697 ÷ 997 =
  18. 18.63988 ÷ 97 =
  19. 19.61860 ÷ 98 =
  20. 20.18391 ÷ 96 =
  21. 21.485422 ÷ 988 =
  22. 22.906889 ÷ 988 =
  23. 23.51979 ÷ 96 =
  24. 24.8771 ÷ 97 =
  25. 25.2769 ÷ 97 =
  26. 26.67658 ÷ 88 =
  27. 27.436135 ÷ 988 =
  28. 28.545992 ÷ 997 =
  29. 29.4559 ÷ 8 =
  30. 30.71769 ÷ 989 =
  31. 31.1539 ÷ 8 =
  32. 32.59210 ÷ 89 =
  33. 33.840113 ÷ 997 =
  34. 34.388050 ÷ 988 =
  35. 35.12539 ÷ 988 =
  36. 36.14903 ÷ 96 =
  37. 37.25998 ÷ 98 =
  38. 38.103199 ÷ 989 =
  39. 39.21454 ÷ 97 =
  40. 40.69449 ÷ 89 =

Answer key

  1. 291 rem 25
  2. 1096 rem 404
  3. 756 rem 32
  4. 524 rem 9
  5. 92 rem 6
  6. 740 rem 863
  7. 767 rem 457
  8. 50 rem 41
  9. 877 rem 15
  10. 120 rem 77
  11. 754 rem 28
  12. 327 rem 685
  13. 161 rem 55
  14. 171 rem 81
  15. 760 rem 372
  16. 483 rem 154
  17. 606 rem 515
  18. 659 rem 65
  19. 631 rem 22
  20. 191 rem 55
  21. 491 rem 314
  22. 917 rem 893
  23. 541 rem 43
  24. 90 rem 41
  25. 28 rem 53
  26. 768 rem 74
  27. 441 rem 427
  28. 547 rem 633
  29. 569 rem 7
  30. 72 rem 561
  31. 192 rem 3
  32. 665 rem 25
  33. 842 rem 639
  34. 392 rem 754
  35. 12 rem 683
  36. 155 rem 23
  37. 265 rem 28
  38. 104 rem 343
  39. 221 rem 17
  40. 780 rem 29

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