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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 813 · 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. 1.480110 ÷ 897 =
  2. 2.49870 ÷ 98 =
  3. 3.40758 ÷ 97 =
  4. 4.7490 ÷ 8 =
  5. 5.474372 ÷ 988 =
  6. 6.76045 ÷ 98 =
  7. 7.124492 ÷ 897 =
  8. 8.3624 ÷ 8 =
  9. 9.2439 ÷ 8 =
  10. 10.39802 ÷ 97 =
  11. 11.21101 ÷ 96 =
  12. 12.307777 ÷ 998 =
  13. 13.30025 ÷ 98 =
  14. 14.713436 ÷ 897 =
  15. 15.40491 ÷ 97 =
  16. 16.42925 ÷ 88 =
  17. 17.79809 ÷ 98 =
  18. 18.747590 ÷ 988 =
  19. 19.48928 ÷ 98 =
  20. 20.889709 ÷ 998 =
  21. 21.13832 ÷ 98 =
  22. 22.440 ÷ 8 =
  23. 23.956156 ÷ 998 =
  24. 24.895952 ÷ 988 =
  25. 25.195945 ÷ 988 =
  26. 26.22142 ÷ 89 =
  27. 27.2007 ÷ 8 =
  28. 28.545910 ÷ 989 =
  29. 29.69448 ÷ 89 =
  30. 30.782748 ÷ 998 =
  31. 31.401307 ÷ 897 =
  32. 32.999816 ÷ 998 =
  33. 33.439608 ÷ 989 =
  34. 34.4020 ÷ 8 =
  35. 35.458128 ÷ 998 =
  36. 36.98666 ÷ 96 =
  37. 37.1461 ÷ 8 =
  38. 38.936366 ÷ 997 =
  39. 39.55206 ÷ 988 =
  40. 40.67759 ÷ 89 =

Answer key

  1. 535 rem 215
  2. 508 rem 86
  3. 420 rem 18
  4. 936 rem 2
  5. 480 rem 132
  6. 775 rem 95
  7. 138 rem 706
  8. 453 rem 0
  9. 304 rem 7
  10. 410 rem 32
  11. 219 rem 77
  12. 308 rem 393
  13. 306 rem 37
  14. 795 rem 321
  15. 417 rem 42
  16. 487 rem 69
  17. 814 rem 37
  18. 756 rem 662
  19. 499 rem 26
  20. 891 rem 491
  21. 141 rem 14
  22. 55 rem 0
  23. 958 rem 72
  24. 906 rem 824
  25. 198 rem 321
  26. 248 rem 70
  27. 250 rem 7
  28. 551 rem 971
  29. 780 rem 28
  30. 784 rem 316
  31. 447 rem 348
  32. 1001 rem 818
  33. 444 rem 492
  34. 502 rem 4
  35. 459 rem 46
  36. 1027 rem 74
  37. 182 rem 5
  38. 939 rem 183
  39. 55 rem 866
  40. 761 rem 30

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