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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 547 · 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. 1.3814 ÷ 89 =
  2. 2.656814 ÷ 988 =
  3. 3.80504 ÷ 989 =
  4. 4.1633 ÷ 96 =
  5. 5.333521 ÷ 989 =
  6. 6.428952 ÷ 997 =
  7. 7.664363 ÷ 988 =
  8. 8.749820 ÷ 989 =
  9. 9.50983 ÷ 89 =
  10. 10.539265 ÷ 998 =
  11. 11.97705 ÷ 97 =
  12. 12.35321 ÷ 97 =
  13. 13.2453 ÷ 96 =
  14. 14.264554 ÷ 989 =
  15. 15.810939 ÷ 997 =
  16. 16.5801 ÷ 8 =
  17. 17.435647 ÷ 897 =
  18. 18.81098 ÷ 96 =
  19. 19.733039 ÷ 997 =
  20. 20.19636 ÷ 89 =
  21. 21.14480 ÷ 97 =
  22. 22.35390 ÷ 98 =
  23. 23.693655 ÷ 988 =
  24. 24.8812 ÷ 8 =
  25. 25.8886 ÷ 8 =
  26. 26.85598 ÷ 98 =
  27. 27.87123 ÷ 88 =
  28. 28.813724 ÷ 897 =
  29. 29.67725 ÷ 98 =
  30. 30.949529 ÷ 897 =
  31. 31.1446 ÷ 8 =
  32. 32.53485 ÷ 98 =
  33. 33.530549 ÷ 989 =
  34. 34.65109 ÷ 89 =
  35. 35.27975 ÷ 89 =
  36. 36.98893 ÷ 97 =
  37. 37.87588 ÷ 96 =
  38. 38.6566 ÷ 8 =
  39. 39.357837 ÷ 897 =
  40. 40.734677 ÷ 897 =

Answer key

  1. 42 rem 76
  2. 664 rem 782
  3. 81 rem 395
  4. 17 rem 1
  5. 337 rem 228
  6. 430 rem 242
  7. 672 rem 427
  8. 758 rem 158
  9. 572 rem 75
  10. 540 rem 345
  11. 1007 rem 26
  12. 364 rem 13
  13. 25 rem 53
  14. 267 rem 491
  15. 813 rem 378
  16. 725 rem 1
  17. 485 rem 602
  18. 844 rem 74
  19. 735 rem 244
  20. 220 rem 56
  21. 149 rem 27
  22. 361 rem 12
  23. 702 rem 79
  24. 1101 rem 4
  25. 1110 rem 6
  26. 873 rem 44
  27. 990 rem 3
  28. 907 rem 145
  29. 691 rem 7
  30. 1058 rem 503
  31. 180 rem 6
  32. 545 rem 75
  33. 536 rem 445
  34. 731 rem 50
  35. 314 rem 29
  36. 1019 rem 50
  37. 912 rem 36
  38. 820 rem 6
  39. 398 rem 831
  40. 819 rem 34

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