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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 74 · 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. 1.289450 ÷ 997 =
  2. 2.8159 ÷ 98 =
  3. 3.49645 ÷ 97 =
  4. 4.16947 ÷ 96 =
  5. 5.34066 ÷ 96 =
  6. 6.271491 ÷ 988 =
  7. 7.200564 ÷ 997 =
  8. 8.152686 ÷ 897 =
  9. 9.21151 ÷ 97 =
  10. 10.89570 ÷ 97 =
  11. 11.3191 ÷ 98 =
  12. 12.4803 ÷ 8 =
  13. 13.386592 ÷ 998 =
  14. 14.912741 ÷ 998 =
  15. 15.36970 ÷ 98 =
  16. 16.31739 ÷ 98 =
  17. 17.415518 ÷ 997 =
  18. 18.4239 ÷ 8 =
  19. 19.154953 ÷ 998 =
  20. 20.252451 ÷ 998 =
  21. 21.20273 ÷ 97 =
  22. 22.684798 ÷ 997 =
  23. 23.249630 ÷ 989 =
  24. 24.45525 ÷ 98 =
  25. 25.25211 ÷ 97 =
  26. 26.547278 ÷ 989 =
  27. 27.46988 ÷ 88 =
  28. 28.63752 ÷ 988 =
  29. 29.1669 ÷ 8 =
  30. 30.1470 ÷ 8 =
  31. 31.976045 ÷ 988 =
  32. 32.784325 ÷ 988 =
  33. 33.76389 ÷ 989 =
  34. 34.67782 ÷ 988 =
  35. 35.175536 ÷ 897 =
  36. 36.49021 ÷ 88 =
  37. 37.7946 ÷ 88 =
  38. 38.305759 ÷ 897 =
  39. 39.95032 ÷ 97 =
  40. 40.664280 ÷ 997 =

Answer key

  1. 290 rem 320
  2. 83 rem 25
  3. 511 rem 78
  4. 176 rem 51
  5. 354 rem 82
  6. 274 rem 779
  7. 201 rem 167
  8. 170 rem 196
  9. 218 rem 5
  10. 923 rem 39
  11. 32 rem 55
  12. 600 rem 3
  13. 387 rem 366
  14. 914 rem 569
  15. 377 rem 24
  16. 323 rem 85
  17. 416 rem 766
  18. 529 rem 7
  19. 155 rem 263
  20. 252 rem 955
  21. 209 rem 0
  22. 686 rem 856
  23. 252 rem 402
  24. 464 rem 53
  25. 259 rem 88
  26. 553 rem 361
  27. 533 rem 84
  28. 64 rem 520
  29. 208 rem 5
  30. 183 rem 6
  31. 987 rem 889
  32. 793 rem 841
  33. 77 rem 236
  34. 68 rem 598
  35. 195 rem 621
  36. 557 rem 5
  37. 90 rem 26
  38. 340 rem 779
  39. 979 rem 69
  40. 666 rem 278

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