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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 593 · 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. 1.871823 ÷ 989 =
  2. 2.63346 ÷ 98 =
  3. 3.765281 ÷ 988 =
  4. 4.62313 ÷ 96 =
  5. 5.7300 ÷ 8 =
  6. 6.47860 ÷ 96 =
  7. 7.754547 ÷ 897 =
  8. 8.733336 ÷ 988 =
  9. 9.851391 ÷ 997 =
  10. 10.774463 ÷ 988 =
  11. 11.425 ÷ 8 =
  12. 12.52603 ÷ 98 =
  13. 13.8377 ÷ 8 =
  14. 14.946524 ÷ 998 =
  15. 15.31976 ÷ 89 =
  16. 16.9660 ÷ 8 =
  17. 17.36584 ÷ 96 =
  18. 18.73879 ÷ 88 =
  19. 19.487118 ÷ 897 =
  20. 20.16776 ÷ 98 =
  21. 21.64545 ÷ 98 =
  22. 22.56375 ÷ 98 =
  23. 23.609705 ÷ 998 =
  24. 24.27426 ÷ 89 =
  25. 25.939259 ÷ 989 =
  26. 26.57264 ÷ 97 =
  27. 27.9310 ÷ 88 =
  28. 28.304264 ÷ 997 =
  29. 29.773423 ÷ 997 =
  30. 30.59471 ÷ 98 =
  31. 31.145438 ÷ 989 =
  32. 32.949559 ÷ 989 =
  33. 33.768443 ÷ 988 =
  34. 34.1723 ÷ 96 =
  35. 35.199139 ÷ 998 =
  36. 36.68314 ÷ 96 =
  37. 37.399970 ÷ 989 =
  38. 38.61480 ÷ 98 =
  39. 39.58960 ÷ 96 =
  40. 40.21853 ÷ 96 =

Answer key

  1. 881 rem 514
  2. 646 rem 38
  3. 774 rem 569
  4. 649 rem 9
  5. 912 rem 4
  6. 498 rem 52
  7. 841 rem 170
  8. 742 rem 240
  9. 853 rem 950
  10. 783 rem 859
  11. 53 rem 1
  12. 536 rem 75
  13. 1047 rem 1
  14. 948 rem 420
  15. 359 rem 25
  16. 1207 rem 4
  17. 381 rem 8
  18. 839 rem 47
  19. 543 rem 47
  20. 171 rem 18
  21. 658 rem 61
  22. 575 rem 25
  23. 610 rem 925
  24. 308 rem 14
  25. 949 rem 698
  26. 590 rem 34
  27. 105 rem 70
  28. 305 rem 179
  29. 775 rem 748
  30. 606 rem 83
  31. 147 rem 55
  32. 960 rem 119
  33. 777 rem 767
  34. 17 rem 91
  35. 199 rem 537
  36. 711 rem 58
  37. 404 rem 414
  38. 627 rem 34
  39. 614 rem 16
  40. 227 rem 61

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